1. 1.5x - 10 = 3 (2x - 4)
Step 1: Distribute 3 to the numbers in the parentheses
1.5x - 10 = (3 *2x) + (3* - 4)
1.5x - 10 = (6x) + (-12)
1.5x - 10 = 6x- 12
Step 2: Combine like terms (x's go with x's). Subtract 6x from both sides so that it is canceled out from the right side and brought to the left side.
(1.5x-6x) - 10 = - 12
-4.5x -10 = -12
Step 3: Continue combining like terms by adding 10 to both sides. This will cancel out -10 from the left side and move it to the right
-4.5x = -12 + 10
-4.5x = -2
Step 4: Divide -4.5 to both sides to isolate x
(-2/-4.5) = x
4/9 = x
2. 3 (-3x + 2) +4x = 1/2(5x - 30) - 9
Step 1: distribute 3 to the numbers in the parentheses.
(3*-3x) + (3*-2) +4x = 1/2 (5x - 30) -9
-9x + (-6) +4x = 1/2 (5x -30) -9
Step 2: