# How do you solve 4x - 63= 9x + 57?

Apr 7, 2018

The answer is $- 24$.

#### Explanation:

$4 \chi - 63 = 9 \chi + 57$

$4 \chi - 9 \chi = 57 + 63$

$- 5 \chi = 120$

$- \chi = \frac{120}{-} 5$

$\chi = - 24$

Apr 7, 2018

$x = - 24$

#### Explanation:

$4 x - 63 = 9 x + 57$

We want to get $x$ on one side, so we can either remove the $x$ on the left side or the $x$ on the right. To cancel out the $x$ on the left, we need to subtract $4 x$ from both sides, or alternatively to cancel out the x on the left we subtract $9 x$ from both sides. For ease I subtracted $4 x$ from both sides.

$4 x - 63 \quad \textcolor{red}{- \quad 4 x} = 9 x + 57 \quad \textcolor{red}{- \quad 4 x}$

$- 63 = 5 x + 57$

Now we want to get $x$ by itself, so we start by subtracting $57$ from both sides:

$- 63 \quad \textcolor{red}{- \quad 57} = 5 x + 57 \quad \textcolor{red}{- \quad 57}$

$- 120 = 5 x$

Divide both sides by 5 to get x completely by itself:

$- \frac{120}{\textcolor{red}{5}} = \frac{5 x}{\textcolor{red}{5}}$

$- 24 = x$

$x = - 24$