Answer:
x = -8
Step-by-step explanation:
Step 1: Write equation
-8(x + 1) + 3(x - 2) = -3x + 2
Step 2: Solve for <em>x</em>
<u>Distribute:</u> -8x - 8 + 3x - 6 = -3x + 2
<u>Combine like terms:</u> -5x - 14 = -3x + 2
<u>Add 5x to both sides:</u> -14 = 2x + 2
<u>Subtract 2 on both sides:</u> -16 = 2x
<u>Divide by 2 on both sides:</u> -8 = x
Step 3: Check
<em>Plug in x to verify correct solution.</em>
-8(-8 + 1) + 3(-8 - 2) = -3(-8) + 2
-8(-7) + 3(-10) = -3(-8) + 2
56 - 30 = 24 + 2
26 = 26