Solve for x

: 12x+5=10x−11
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( 12x + 5 = 10x - 11 \), follow these steps:

1. **Subtract \( 10x \) from both sides**:

\[
12x - 10x + 5 = 10x - 10x - 11
\]

This simplifies to:

\[
2x + 5 = -11
\]

2. **Subtract 5 from both sides**:

\[
2x + 5 - 5 = -11 - 5
\]

This simplifies to:

\[
2x = -16
\]

3. **Divide both sides by 2**:

\[
\frac{2x}{2} = \frac{-16}{2}
\]

This simplifies to:

\[
x = -8
\]

Thus, the solution is:

\[
\boxed{-8}
\]