# How do you solve -5x + 23+ 7x + 23= 4?

Aug 1, 2017

See a solution process below:

#### Explanation:

First, group and then combine like terms on the left side of the equation:

$- 5 x + 7 x + 23 + 23 = 4$

$\left(- 5 + 7\right) x + \left(23 + 23\right) = 4$

$2 x + 46 = 4$

Next, subtract $\textcolor{red}{46}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$2 x + 46 - \textcolor{red}{46} = 4 - \textcolor{red}{46}$

$2 x + 0 = - 42$

$2 x = - 42$

Now, divide each side of the equation by $\textcolor{red}{2}$ to solve for $x$ while keeping the equation balanced:

$\frac{2 x}{\textcolor{red}{2}} = - \frac{42}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}} = - 21$

$x = - 21$