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

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Answer 1 · 2015-11-06T23:04:28

x=-7.5

Multiply 5 through the parentheses and we get:

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

Answer 2 · 2015-11-06T23:06:54

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

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

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

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

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

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

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

How do you solve 9x -5 (x-12)=309x−5(x−12)=309x -5 (x-12)=30?