# How do you solve 9x -5 (x-12)=30?

Nov 6, 2015

x=-7.5

#### Explanation:

Multiply 5 through the parentheses and we get:

9x - 5x + 60 = 30
4x = -30
x = -7.5

Nov 6, 2015

Use the distributive property, combine like terms, and use basic operations to isolate $x$.

#### Explanation:

Starting from $9 x - 5 \left(x - 12\right) = 30$:

Apply the distributive property to $5 \left(x - 12\right)$ to obtain
$9 x - 5 x - 5 \left(- 12\right) = 30$

Combining the like terms $9 x$ and $5 x$ and multiplying $- 5 \left(- 12\right)$ gives us
$4 x + 60 = 30$

Subtracting $60$ from both sides of the equation gives
$4 x = - 30$

Finally, dividing both sides of the equation by $4$ gives
$x = - \frac{30}{4}$

Of course, we want to write the fraction in its reduced form, so
$x = - \frac{15}{2}$