# How do you solve 8( 12- 2x ) = 5x + 12?

Jun 17, 2018

$x = 4$

#### Explanation:

Multiply out the brackets

$8 \times 12 = 96$

$8 \times \left(- 2 x\right) = - 16 x$

to give

$96 - 16 x$

on the left side of the equation. Therefore

$96 - 16 x = 5 x + 12$

Then rearrange the whole equation to get all the $x$'s on one side of the equation.

Add $16 x$ to both sides of the equation to eliminate the $- 16 x$ from the left side, and minus $12$ from both sides to eliminate the $+ 12$ from the right side. This means all the $x$'s are on the left side.

$96 - 12 = 5 x + 16 x$

$84 = 21 x$

Divide both sides of the equation by $21$ to get the $x$ term on its own.

$\frac{84}{21} = \frac{21 x}{21}$

Therefore

$x = 4$

In order to ensure the $x$ term is correct, be sure to sub it back into the original equation to make sure it works.

Jun 17, 2018

By opening up the bracket

#### Explanation:

$8 \left(12 - 2 x\right) = 5 x + 12$

$96 - 16 x = 5 x + 12$

So

$21 x = 84$

$x = 4$

Jun 17, 2018

Simplifying for x gives us: 4

#### Explanation:

To start solving this, we need to distribute the 8 to the left side of the equal sign to simplify it.

So distributing the 8 on the left side, gives us: $96 - 16 x$

So we have $96 - 16 x = 5 x + 12$

We can do a couple of things of subtracting $x$ on both sides or numbers on both sides. Let's subtract 5x from both sides which gives us:

$96 - 21 x = 12$

Now, let subtract 96 to both sides which gives us:

$- 21 x = - 84$

We can divide both sides by -21 which gives us: 4.