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# One-variable linear equations Calculator

## Get detailed solutions to your math problems with our One-variable linear equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of one-variable linear equations. This solution was automatically generated by our smart calculator:

$4x+2=10$
2

Factor the polynomial $4x+2$ by it's greatest common factor (GCF): $2$

$2\left(2x+1\right)=10$

Divide both sides of the equation by $2$

$\frac{2\left(2x+1\right)}{2}=\frac{10}{2}$

Divide $10$ by $2$

$\frac{2\left(2x+1\right)}{2}=5$
3

Divide both sides of the equation by $2$

$\frac{2\left(2x+1\right)}{2}=5$
4

Simplify the fraction $\frac{2\left(2x+1\right)}{2}$ by $2$

$2x+1=5$
5

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation

$2x+1-1=5-1$

Canceling terms on both sides

$2x=5-1$

Add the values $5$ and $-1$

$2x=4$
6

Canceling terms on both sides

$2x=4$

Divide both sides of the equation by $2$

$\frac{2x}{2}=\frac{4}{2}$

Divide both sides of the equation by $2$

$\frac{2\left(2x+1\right)}{2}=\frac{10}{2}$

Divide $10$ by $2$

$\frac{2\left(2x+1\right)}{2}=5$

Divide $4$ by $2$

$\frac{2x}{2}=2$
7

Divide both sides of the equation by $2$

$\frac{2x}{2}=2$
8

Simplify the fraction $\frac{2x}{2}$ by $2$

$x=2$

##  Final answer to the problem

$x=2$

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