Answer: The solution to the equation
.
Explanation:
To solve the equation
, you can follow these steps:
1. Expand the terms inside the parentheses:
![\[ -4x + 2x + 8 = -7x - x - 1 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/eia9bqwpbjr1ii93voedqz3hcoejv6h5pe.png)
2. Combine like terms on both sides:
![\[ -2x + 8 = -8x - 1 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/wn4dyhri9plz831fx809rtsp9xmhx9ai03.png)
3. Move all terms to one side to set the equation to zero:
![\[ -2x + 8x = -8 - 1 \] \[ 6x = -9 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/pphixpgo2bpce1yfocal3ibm7uhtdnsrys.png)
4. Solve for
:
![\[ x = -(9)/(6) \] \[ x = -(3)/(2) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/w2j9m2j0dwfnfd8v7f19cbux3xm5uod5xt.png)
So, the solution to the equation
.