Question

solve for x: -4(3x + 10) - 2 = 54. (1 point)
○ x = -8
○ x = 8
○ x = -4
○ x = 4

Explanation:

Step1: Simplify the left side

First, distribute the -4 in \(-4(3x + 10)\): \(-4\times3x + (-4)\times10=-12x - 40\). Then the equation becomes \(-12x - 40 - 2 = 54\). Combine like terms: \(-12x - 42 = 54\).

Step2: Isolate the variable term

Add 42 to both sides of the equation: \(-12x - 42 + 42 = 54 + 42\), which simplifies to \(-12x = 96\).

Step3: Solve for x

Divide both sides by -12: \(\frac{-12x}{-12}=\frac{96}{-12}\), so \(x = - 8\).

Answer:

\(x = -8\) (corresponding to the option "A. \(x = -8\)" if we assume the first option is labeled A, but based on the given options, the correct one is \(x = -8\) among the provided choices: \(x = -8\))