Question

solve for x.
-38 = 7x + 17 - 12x
simplify your answer as much as possible.
x =

Explanation:

Step1: Combine like terms

On the right side, combine the \(x\)-terms: \(7x - 12x=-5x\). So the equation becomes \(-38 = -5x + 17\).

Step2: Subtract 17 from both sides

Subtract 17 from each side: \(-38 - 17=-5x + 17 - 17\). Calculating the left side: \(-55=-5x\).

Step3: Divide both sides by -5

Divide both sides by \(-5\): \(\frac{-55}{-5}=\frac{-5x}{-5}\). Simplifying, we get \(11 = x\).

Answer:

\(x = 11\)