Answer:
x = -5
Step-by-step explanation:
3(1 + x) = 2(x + -1)
(1 * 3 + x * 3) = 2(x + -1)
(3 + 3x) = 2(x + -1)
Reorder the terms:
3 + 3x = 2(-1 + x)
3 + 3x = (-1 * 2 + x * 2)
3 + 3x = (-2 + 2x)
Solving
:the equation
3 + 3x = -2 + 2x
add '-2x' to each side of the equation.
3 + 3x + -2x = -2 + 2x + -2x
Combine like terms: 3x + -2x = x
3 + x = -2 + 2x + -2x
combine like terms: 2x + -2x = 0
3 + x = -2 + 0
3 + x = -2
Add '-3' to each side of the equation.
3 + -3 + x = -2 + -3
Combine like terms: 3 + -3 = 0
0 + x = -2 + -3
x = -2 + -3
Combine like terms: -2 + -3 = -5
x = -5
divide each side by '1'.
x = -5