Question

Solve.
12 x plus 13 equals 7 x minus 7

Answer 1

To solve the equation \( 12x + 13 = 7x - 7 \), follow these steps:

1. **Subtract \( 7x \) from both sides:**
\[
12x - 7x + 13 = -7
\]
Simplifying gives:
\[
5x + 13 = -7
\]

2. **Subtract 13 from both sides:**
\[
5x = -7 - 13
\]
Simplifying gives:
\[
5x = -20
\]

3. **Divide both sides by 5:**
\[
x = \frac{-20}{5}
\]
Simplifying gives:
\[
x = -4
\]

So, the solution is \( x = -4 \).