Question

solve for x: -2(3x - 15) - 4 = 56. (1 point)
x =
check answer remaining attempts : 3

Explanation:

Step1: Simplify the left - hand side

First, we use the distributive property \(a(b + c)=ab+ac\) to expand \(-2(3x - 15)\).
\(-2(3x-15)-4=-2\times3x+(-2)\times(-15)-4=-6x + 30-4\)
Then, we combine like terms: \(-6x+30 - 4=-6x + 26\)
So the equation becomes \(-6x+26 = 56\)

Step2: Isolate the term with \(x\)

Subtract 26 from both sides of the equation:
\(-6x+26-26=56 - 26\)
\(-6x=30\)

Step3: Solve for \(x\)

Divide both sides of the equation by \(-6\):
\(x=\frac{30}{-6}=- 5\)

Answer:

\(x = - 5\)