# How do you solve 3/2 (x+8)=6x?

Jan 22, 2016

Use the distributive property to solve.

#### Explanation:

The distributive property states that you must multiply the number outside parentheses with each number encompassed within the parentheses.

Example: Simplify 2(x + 4)

= 2x + 8, since we multiplied the 2 with the x and the 2 with the 4

Now let's get to the equation:

First use the distributive property to simplify:

$\frac{3}{2} x$ + 12 = 6x

Put the x's together and the non-x's together

$\frac{3}{2} x$ - 6x = -12

$- \frac{9}{2} x$ = -12

-9x = -24

x = $\frac{8}{3}$

So, the solution is x = $\frac{8}{3}$

Hopefully this helps.