Step 1 : We have the following equation: 3x - 3 = 4x + 2
Step 2: Let's solve it, this way:
A. Like terms (Variable x and coefficients on the left and integers on the right)
3x - 4x = 2 + 3
-x = 5
Multiplying by - 1 at both sides, we have:
-x (-1) = 5 (-1)
x = -5
Step 3: Let's prove that x = -5 is correct, this way:
3x - 3 = 4x + 2
3 (-5) - 3 = 4 (-5) + 2
-15 - 3 = -20 + 2
- 18 = - 18
We just proved that x = -5 is correct for the equation given!
My pleasure to help you out today, Devin!