# Solve -28-5x=-8x+23 ?

May 29, 2018

$x = 17$

#### Explanation:

Identify like terms
$\setminus \textcolor{red}{- 28} \setminus \textcolor{b l u e}{- 5 x} = \setminus \textcolor{b l u e}{- 8 x} + \setminus \textcolor{red}{23}$

Move like terms, then combine
$\setminus \textcolor{b l u e}{- 5 x + 8 x} = \setminus \textcolor{red}{23 + 28}$
$\setminus \textcolor{b l u e}{3 x} = \setminus \textcolor{red}{51}$

$\setminus \therefore x = \frac{51}{3} = 17$

May 29, 2018

$x = 17$

#### Explanation:

First, you subtract the $23$ from both sides;

$- 51 - 5 x = - 8 x$

Then, you add the $5 x$ to both sides;

$- 51 = - 3 x$

Finally, you divide both sides by $- 3 x$;

$x = 17$