4(x+1)-5x=2(x+6)-4

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Solution for 4(x+1)-5x=2(x+6)-4 equation: 


Simplifying
4(x + 1) + -5x = 2(x + 6) + -4

Reorder the terms:
4(1 + x) + -5x = 2(x + 6) + -4
(1 * 4 + x * 4) + -5x = 2(x + 6) + -4
(4 + 4x) + -5x = 2(x + 6) + -4

Combine like terms: 4x + -5x = -1x
4 + -1x = 2(x + 6) + -4

Reorder the terms:
4 + -1x = 2(6 + x) + -4
4 + -1x = (6 * 2 + x * 2) + -4
4 + -1x = (12 + 2x) + -4

Reorder the terms:
4 + -1x = 12 + -4 + 2x

Combine like terms: 12 + -4 = 8
4 + -1x = 8 + 2x

Solving
4 + -1x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
4 + -1x + -2x = 8 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = 8 + 0
4 + -3x = 8

Add '-4' to each side of the equation.
4 + -4 + -3x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 8 + -4
-3x = 8 + -4

Combine like terms: 8 + -4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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