Solve the equation $-8(x+7)+5 = -7(x-5)$ for $x$.

1. Problem Description

Solve the equation $-8(x+7)+5 = -7(x-5)$ for $x$.

2. Solution Steps

First, distribute the $-8$ on the left side and the $-7$ on the right side of the equation:

$-8x - 56 + 5 = -7x + 35$

Combine the constant terms on the left side:

$-8x - 51 = -7x + 35$

Add $8x$ to both sides:

$-51 = x + 35$

Subtract $35$ from both sides:

$-51 - 35 = x$

$-86 = x$

Thus, $x = -86$.

3. Final Answer

-86