Question

Which value of x makes this equation true? -12x - 2(x + 9) = 5(x + 4)​

Answer 1

Answer:

$\huge\boxed{\text{(A)} \ -2}$

Step-by-step explanation:

We have the equation $-12x - 2(x+9) = 5(x+4)$. Our goal is to isolate x on one side of the equation and find it's value by "reversing" the equation.

Apply the distributive property on the left side:

$-12x - 2x - 18 = 5(x+4)$

Apply the distributive property on the right side:

$-12x-2x-18 = 5x+20$

Combine like terms on the left side:

$-14x-18=5x+20$

Subtract 5x from both sides:

$-19x-18=20$

Add 18 to both sides:

$-19x=38$

Divide both sides by -19:

$x=-2$

Hope this helped!