Question

Solve for x.
5, left parenthesis, 3, x, plus, 1, right parenthesis, minus, 2, x, plus, 4, equals, 22
5(3x+1)−2x+4=
22

Answer 1

To solve the equation \(5(3x + 1) - 2x + 4 = 22\), we will follow these steps:

1. Distribute the \(5\) into the parentheses:
\[
5(3x) + 5(1) - 2x + 4 = 22
\]
\[
15x + 5 - 2x + 4 = 22
\]

2. Combine like terms:
\[
15x - 2x + 5 + 4 = 22
\]
\[
13x + 9 = 22
\]

3. Subtract \(9\) from both sides:
\[
13x = 22 - 9
\]
\[
13x = 13
\]

4. Divide both sides by \(13\):
\[
x = \frac{13}{13}
\]
\[
x = 1
\]

Thus, the solution is:
\[
\boxed{1}
\]