# How do you solve 3- 2/3 (x-5) = 9?

Jul 9, 2016

$x = - 4$

#### Explanation:

Following the order of operations, we need to multiply/distribute the $- \frac{2}{3}$ across the numbers in the parenthesis.

$3 - \frac{2}{3} \left(x\right) + \frac{2}{3} \left(5\right) = 9$

$3 - \frac{2}{3} x + \frac{10}{3} - 9$

Now We can combine like terms in the left side of the equation.

$\frac{19}{3} - \frac{2}{3} x = 9$

Now we need to isolate the variable. Get all variable terms to one side by moving the #19/3 to the right side.

$- \frac{2}{3} x = \frac{8}{3}$

Then get rid of the coefficient by dividing out the fraction (same as multiplying by the reciprocal).

$x = - 4$