Answer
$x=\frac{2}{3}$
Work Step by Step
$-3(x-4)=10$
$-3x+12=10$
$(-3x+12)-12=10-12$
$-3x=-2$
$-3x\div-3=-2\div-3$
$x=\frac{2}{3}$
The error in the proposed solution was that when the solver distributed $-3$, they forgot that $x-4=x+(-4)$. Since a negative number multiplied by a negative number is a positive number, the correct expression after distribution is not $-3x-12$, but $-3x+12$. Solve the equation accordingly to get the correct solution.
