Answer
x=1
Work Step by Step
Simplifying
-2x + 6(2 + -1x) + -4 = 3(x + 1) + -6
-2x + (2 * 6 + -1x * 6) + -4 = 3(x + 1) + -6
-2x + (12 + -6x) + -4 = 3(x + 1) + -6
Reorder the terms:
12 + -4 + -2x + -6x = 3(x + 1) + -6
Combine like terms: 12 + -4 = 8
8 + -2x + -6x = 3(x + 1) + -6
Combine like terms: -2x + -6x = -8x
8 + -8x = 3(x + 1) + -6
Reorder the terms:
8 + -8x = 3(1 + x) + -6
8 + -8x = (1 * 3 + x * 3) + -6
8 + -8x = (3 + 3x) + -6
Reorder the terms:
8 + -8x = 3 + -6 + 3x
Combine like terms: 3 + -6 = -3
8 + -8x = -3 + 3x
Solving
8 + -8x = -3 + 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.
8 + -8x + -3x = -3 + 3x + -3x
Combine like terms: -8x + -3x = -11x
8 + -11x = -3 + 3x + -3x
Combine like terms: 3x + -3x = 0
8 + -11x = -3 + 0
8 + -11x = -3
Add '-8' to each side of the equation.
8 + -8 + -11x = -3 + -8
Combine like terms: 8 + -8 = 0
0 + -11x = -3 + -8
-11x = -3 + -8
Combine like terms: -3 + -8 = -11
-11x = -11
Divide each side by '-11'.
x = 1
Simplifying
x = 1
