Question

Solve for x.
minus, 5, left parenthesis, minus, 5, x, minus, 4, right parenthesis, minus, 4, x, plus, 2, equals, 43
−5(−5x−4)−4x+2=
43

Answer 1

Let's solve the equation step by step:

Given:
\[
-5(-5x - 4) - 4x + 2 = 43
\]

1. Distribute \(-5\) inside the parentheses:
\[
-5 \cdot (-5x) - 5 \cdot (-4) - 4x + 2 = 43
\]
\[
25x + 20 - 4x + 2 = 43
\]

2. Combine like terms (the terms involving \(x\) and the constant terms):
\[
(25x - 4x) + (20 + 2) = 43
\]
\[
21x + 22 = 43
\]

3. Subtract 22 from both sides:
\[
21x = 43 - 22
\]
\[
21x = 21
\]

4. Divide both sides by 21:
\[
x = 1
\]

So the solution is:
\[
\boxed{1}
\]