# How do you solve 8- \frac { 1} { 3} x = 16?

Mar 14, 2018

Using subtraction and multiplication, you find that $x = - 24$

#### Explanation:

To arrive at the solution, you need to get $x$ all alone. The first thing to do is move all addition/subtraction terms to the opposite side of the equals sign as $x$.

For this problem, we need to first subtract 8 from both sides to 'move' the additive part to the right-hand side of the equation, away from $x$:

$8 - \frac{1}{3} x = 16$
$\cancel{8} - \frac{1}{3} x - \cancel{8} = 16 - 8$
$- \frac{1}{3} x = 8$

Next, we'll divide both sides by -1/3. Dividing by a fraction is the same as multiplying by its inverse. Therefore, we will achieve the same effect by multiplying both sides by -3:

$- \frac{1}{3} x \cdot - 3 = 8 \cdot - 3$
-((-3)/3)x=-24 rArr -(-1)x=-24 rArr color(red)(x=-24