Question

Solve the following equation. 12x−7=4x−31

Answer 1

To solve the equation \( 12x - 7 = 4x - 31 \), follow these steps:

1. Start by isolating the variable on one side. Subtract \( 4x \) from both sides:

\[
12x - 4x - 7 = -31
\]

This simplifies to:

\[
8x - 7 = -31
\]

2. Next, add \( 7 \) to both sides to isolate the term with \( x \):

\[
8x - 7 + 7 = -31 + 7
\]

This simplifies to:

\[
8x = -24
\]

3. Finally, divide both sides by \( 8 \) to solve for \( x \):

\[
x = \frac{-24}{8}
\]

This simplifies to:

\[
x = -3
\]

Thus, the solution to the equation \( 12x - 7 = 4x - 31 \) is

\[
\boxed{-3}
\]