# One-variable linear equations Calculator

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

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### Difficult Problems

1

Solved example of One-variable linear equations

$\frac{3x}{5}-1+\frac{3x}{2}-5=-\frac{9}{10}\cdot x$
2

Subtract the values $-1$ and $-5$

$\frac{3x}{5}+\frac{3x}{2}-6=-1\cdot \frac{9}{10}x$
3

Multiply $-1$ times $\frac{9}{10}$

$\frac{3x}{5}+\frac{3x}{2}-6=-\frac{9}{10}x$
4

Apply the formula: $\frac{a\cdot b}{c}$$=b\frac{a}{c}$, where $a=3$, $b=x$ and $c=2$

$\frac{3}{5}x+\frac{3}{2}x-6=-\frac{9}{10}x$
5

Divide $3$ by $5$

$\frac{3}{5}x+\frac{3}{2}x-6=-\frac{9}{10}x$
6

Adding $\frac{3}{5}x$ and $\frac{3}{2}x$

$-6+\frac{21}{10}x=-\frac{9}{10}x$
7

Grouping terms

$-6+\frac{21}{10}x+\frac{9}{10}x=0$
8

Adding $\frac{21}{10}x$ and $\frac{9}{10}x$

$-6+3x=0$
9

Subtract $-6$ from both sides of the equation

$3x=6$
10

Multiply both sides of the equation by $\frac{1}{3}$

$x=2$