How do you solve 4x - 24= - 5x + 12?

Jun 22, 2018

$x = 4$

Here's how I did it:

Explanation:

$4 x - 24 = - 5 x + 12$

First, add $\textcolor{b l u e}{24}$ to both sides:
$4 x - 24 \quad \textcolor{b l u e}{+ \quad 24} = - 5 x + 12 \quad \textcolor{b l u e}{+ \quad 24}$

$4 x = - 5 x + 36$

Now add $\textcolor{b l u e}{5 x}$ to both sides:
$4 x \quad \textcolor{b l u e}{+ \quad 5 x} = - 5 x + 36 \quad \textcolor{b l u e}{+ \quad 5 x}$

$9 x = 36$

Finally, divide both sides by $\textcolor{b l u e}{9}$:
$\frac{9 x}{\textcolor{b l u e}{9}} = \frac{36}{\textcolor{b l u e}{9}}$

Therefore,
$x = 4$

Hope this helps!

Jun 22, 2018

$x = 4$

Explanation:

Combining like terms:

$9 x = 36$

so

$x = 4$

Jun 22, 2018

$x = 4$

Explanation:

$\text{collect terms in x on the left side and numeric values on}$
$\text{the right side}$

$\text{add "5x" to both sides}$

$4 x + 5 x - 24 = 12$

$\text{add 24 to both sides}$

$9 x = 12 + 24 = 36$

$\text{divide both sides by 9}$

$x = \frac{36}{9} = 4$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the equation and if both sides are equal then it is the solution.

$\text{left } = 16 - 24 = - 8$

$\text{right } = - 20 + 12 = - 8$

$x = 4 \text{ is the solution}$