# How do you solve -3x + 7x = 28?

Feb 28, 2017

See the entire solution process below:

#### Explanation:

First, combine like terms on each side of the equation:

$\left(- 3 + 7\right) x = 28$

$4 x = 28$

Now, divide each side of the equation by $\textcolor{red}{4}$ to solve for $x$ while keeping the equation balanced:

$\frac{4 x}{\textcolor{red}{4}} = \frac{28}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x}{\cancel{\textcolor{red}{4}}} = 7$

$x = 7$