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

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


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

Reorder the terms:
4(2 + x) = -2(6x + -5) + 2x
(2 * 4 + x * 4) = -2(6x + -5) + 2x
(8 + 4x) = -2(6x + -5) + 2x

Reorder the terms:
8 + 4x = -2(-5 + 6x) + 2x
8 + 4x = (-5 * -2 + 6x * -2) + 2x
8 + 4x = (10 + -12x) + 2x

Combine like terms: -12x + 2x = -10x
8 + 4x = 10 + -10x

Solving
8 + 4x = 10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
8 + 4x + 10x = 10 + -10x + 10x

Combine like terms: 4x + 10x = 14x
8 + 14x = 10 + -10x + 10x

Combine like terms: -10x + 10x = 0
8 + 14x = 10 + 0
8 + 14x = 10

Add '-8' to each side of the equation.
8 + -8 + 14x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 14x = 10 + -8
14x = 10 + -8

Combine like terms: 10 + -8 = 2
14x = 2

Divide each side by '14'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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