# 4x 1 2x 7

Multiply x and 1

The x just gets copied along.

x

4*x evaluates to 4x

Because of the minus sign

4x becomes - 4x

-4*x-1 evaluates to -4x-1

The right hand side of your inequality can be written as: -4x-1

So with these (any) simplifications, the inequality we'll set out to solve is:
0-4x-1

Move the -4x to the left hand side by adding 4x to both sides, like this:
To the left hand side:
To the right hand side:
-4x + 4x = 0x

-1

Your inequality doesn't appear to be linear. That is, it involves
terms that have powers of x greater than, or less than 1.
This particular module of Webmath can only solve linear inequalities.
This equation solver is limited in what it can solve. It was designed to solve only linear equations normally found in an Algebra I or Algebra II class.

If it has not solved your equation, you should try our more sophisticated numerical equation solver, which can find a solution to just about any equation you put into it.

Sours: https://www.webmath.com/cgi-bin/gopoly.cgi?lhs=2x+-+7+%3D+&ineq=leq&rhs=+-4x+-1&variable=x&back=solve.html

## Linear equations with one unknown

### Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*x-1/2*x-(7)=0

### Step  1  :

1 Simplify — 2

#### Equation at the end of step  1  :

1 (4x - (— • x)) - 7 = 0 2

### Step  2  :

#### Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

4x 4x • 2 4x = —— = —————— 1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

#### Adding fractions that have a common denominator :

Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x • 2 - (x) 7x ———————————— = —— 2 2

7x —— - 7 = 0 2

### Step  3  :

#### Rewriting the whole as an Equivalent Fraction :

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

7 7 • 2 7 = — = ————— 1 2

#### Adding fractions that have a common denominator :

Adding up the two equivalent fractions

7x - (7 • 2) 7x - 14 ———————————— = ——————— 2 2

### Step  4  :

#### Pulling out like terms :

Pull out like factors :

7x - 14  =   7 • (x - 2)

#### Equation at the end of step  4  :

7 • (x - 2) ——————————— = 0 2

### Step  5  :

#### When a fraction equals zero :

When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

7•(x-2) ——————— • 2 = 0 • 2 2

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
7  •  (x-2)  = 0

#### Equations which are never true :

Solve :    7   =  0

This equation has no solution.
A a non-zero constant never equals zero.

#### Solving a Single Variable Equation :

Solve  :    x-2 = 0

Add  2  to both sides of the equation :
x = 2

### One solution was found :

x = 2
Sours: https://www.tiger-algebra.com/drill/4x-1/2x=7/

### Most Used Actions

 \mathrm{simplify} \mathrm{solve\:for} \mathrm{expand} \mathrm{factor} \mathrm{rationalize}
Related »Graph »Number Line »Examples »

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Try to further simplify

### Examples

equation-calculator

\frac{4x-1}{2}=x+7

en

Sours: https://www.symbolab.com/solver/equation-calculator/%5Cfrac%7B4x-1%7D%7B2%7D%3Dx%2B7
Solving Equations \u0026 Inequalities Review of Algebra 1

## Linear equations with one unknown

### Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-4*x(-2*x-7)=0

### Step  1  :

#### Pulling out like terms :

Pull out like factors :

-2x + 6  =   -2 • (x - 3)

### Step  2  :

#### Equations which are never true :

Solve :    -2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

#### Solving a Single Variable Equation :

Solve  :    x-3 = 0

Add  3  to both sides of the equation :
x = 3

### One solution was found :

x = 3
Sours: https://www.tiger-algebra.com/drill/-4x-1=-2x-7/

## 7 4x 1 2x

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Algebra - How To Solve Equations Quickly!

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