To solve the equation \( 5x + 12 = -x + 9 \), follow these steps: 1. **Add \( x \) to both sides** to eliminate the \( -x \) from the right side: \[ 5x + x + 12 = 9 \] This simplifies to: \[ 6x + 12 = 9 \] 2. **Subtract 12 from both sides**: \[ 6x = 9 - 12 \] This simplifies to: \[ 6x = -3 \] 3. **Divide both sides by 6** to solve for \( x \): \[ x = \frac{-3}{6} = -\frac{1}{2} \] Therefore, the solution is \[ x = -\frac{1}{2}. \]

5x+12=_x+9

1 answer

To solve the equation \( 5x + 12 = -x + 9 \), follow these steps:

Add \( x \) to both sides to eliminate the \( -x \) from the right side:

\[ 5x + x + 12 = 9 \]

This simplifies to:

\[ 6x + 12 = 9 \]
Subtract 12 from both sides:

\[ 6x = 9 - 12 \]

This simplifies to:

\[ 6x = -3 \]
Divide both sides by 6 to solve for \( x \):

\[ x = \frac{-3}{6} = -\frac{1}{2} \]

Therefore, the solution is

\[ x = -\frac{1}{2}. \]