# How do you solve 3(x-1)=x?

Mar 11, 2018

$x = \frac{3}{2}$

#### Explanation:

This is simple. Just proceed step by step.

$\textcolor{w h i t e}{\times x} 3 \left(x - 1\right) = x$

$\Rightarrow 3 x - 3 = x$ [Use the distributive property to remove the
$\textcolor{w h i t e}{\times \times \times \times \times}$ parentheses]

$\Rightarrow 3 x - x - 3 = x - x$ [Subtract $x$ from both sides]

$\Rightarrow 2 x - 3 = 0$

$\Rightarrow 2 x - 3 + 3 = 3$ [Now Add $3$ to both sides]

$\Rightarrow 2 x = 3$

$\Rightarrow \frac{2 x}{2} = \frac{3}{2}$ [Now divide both sides by $2$]

$\Rightarrow x = \frac{3}{2}$

Hence explained. Hope this helps.