Answer
x = -0.5333333333
Work Step by Step
Simplifying
6(3x + 1) = 5x + -1(2x + 2)
Reorder the terms:
6(1 + 3x) = 5x + -1(2x + 2)
(1 * 6 + 3x * 6) = 5x + -1(2x + 2)
(6 + 18x) = 5x + -1(2x + 2)
Reorder the terms:
6 + 18x = 5x + -1(2 + 2x)
6 + 18x = 5x + (2 * -1 + 2x * -1)
6 + 18x = 5x + (-2 + -2x)
Reorder the terms:
6 + 18x = -2 + 5x + -2x
Combine like terms: 5x + -2x = 3x
6 + 18x = -2 + 3x
Solving
6 + 18x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + 18x + -3x = -2 + 3x + -3x
Combine like terms: 18x + -3x = 15x
6 + 15x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + 15x = -2 + 0
6 + 15x = -2
Add '-6' to each side of the equation.
6 + -6 + 15x = -2 + -6
Combine like terms: 6 + -6 = 0
0 + 15x = -2 + -6
15x = -2 + -6
Combine like terms: -2 + -6 = -8
15x = -8
Divide each side by '15'.
x = -0.5333333333
Simplifying
x = -0.5333333333
