Hello! I'll be happy to help you with this math problem.
To find the value of \( x \) that satisfies the equation \( -12 + 5x = 43 \), we need to isolate the variable \( x \) by following these steps:
1. Add 12 to both sides of the equation to get rid of the -12 on the left side:
\[ -12 + 12 + 5x = 43 + 12 \]
\[ 5x = 55 \]
2. Divide both sides by 5 to solve for \( x \):
\[ \frac{5x}{5} = \frac{55}{5} \]
\[ x = 11 \]
Therefore, the value of \( x \) that makes the equation \( -12 + 5x = 43 \) true is \( x = 11 \).
