# How do you solve 2(x+2)=3(x-8)?

Feb 12, 2017

See the entire solution process below:

#### Explanation:

First, expand the terms in parenthesis on each side of the equation:

$\left(2 \times x\right) + \left(2 \times 2\right) = \left(3 \times x\right) - \left(3 \times 8\right)$

$2 x + 4 = 3 x - 24$

Now, subtract $\textcolor{red}{2 x}$ and add $\textcolor{b l u e}{24}$ to each side of the equation to solve for $x$:

$2 x + 4 - \textcolor{red}{2 x} + \textcolor{b l u e}{24} = 3 x - 24 - \textcolor{red}{2 x} + \textcolor{b l u e}{24}$

$2 x - \textcolor{red}{2 x} + 4 + \textcolor{b l u e}{24} = 3 x - \textcolor{red}{2 x} - 24 + \textcolor{b l u e}{24}$

$0 + 28 = \left(3 - 2\right) x - 0$

$28 = 1 x$

$28 = x$

$x = 28$