Question

Solve for x.
minus, 5, left parenthesis, minus, 4, x, plus, 3, right parenthesis, minus, 5, x, plus, 1, equals, 16
−5(−4x+3)−5x+1=
16

Answer 1

Let's solve the equation step by step:

Given:
\[
-5(-4x + 3) - 5x + 1 = 16
\]

1. Distribute the \(-5\) in the first term:
\[
-5 \cdot -4x + -5 \cdot 3 - 5x + 1 = 16
\]
This simplifies to:
\[
20x - 15 - 5x + 1 = 16
\]

2. Combine like terms:
\[
(20x - 5x) + (-15 + 1) = 16
\]
This simplifies to:
\[
15x - 14 = 16
\]

3. Add \(14\) to both sides:
\[
15x - 14 + 14 = 16 + 14
\]
This results in:
\[
15x = 30
\]

4. Divide by \(15\):
\[
x = \frac{30}{15}
\]
Thus, we find:
\[
x = 2
\]

The solution is:
\[
\boxed{2}
\]