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

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


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

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

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

Reorder the terms:
8 + 4x = -4 + 6 + -2x

Combine like terms: -4 + 6 = 2
8 + 4x = 2 + -2x

Solving
8 + 4x = 2 + -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.
8 + 4x + 2x = 2 + -2x + 2x

Combine like terms: 4x + 2x = 6x
8 + 6x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 6x = 2 + 0
8 + 6x = 2

Add '-8' to each side of the equation.
8 + -8 + 6x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 2 + -8
6x = 2 + -8

Combine like terms: 2 + -8 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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