To solve the equation, we need to expand and simplify both sides of the equation.
Expanding the left side: 3(x-2) - 5(x+1) = -8x 3x - 6 - 5x - 5 = -8x -2x - 11 = -8x
Now, let's isolate x on one side of the equation. To do this, we can add 2x on both sides of the equation to get rid of the -8x term:
-2x - 11 + 2x = -8x + 2x -11 = -6x
Finally, divide both sides by -6 to find the value of x:
-11 / -6 = x x = 11/6
Therefore, the solution to the equation 3(x-2) - 5(x+1) = -8x is x = 11/6.