2(x+4-2)=-4(x+2)+3

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Solution for 2(x+4-2)=-4(x+2)+3 equation: 


Simplifying
2(x + 4 + -2) = -4(x + 2) + 3

Reorder the terms:
2(4 + -2 + x) = -4(x + 2) + 3

Combine like terms: 4 + -2 = 2
2(2 + x) = -4(x + 2) + 3
(2 * 2 + x * 2) = -4(x + 2) + 3
(4 + 2x) = -4(x + 2) + 3

Reorder the terms:
4 + 2x = -4(2 + x) + 3
4 + 2x = (2 * -4 + x * -4) + 3
4 + 2x = (-8 + -4x) + 3

Reorder the terms:
4 + 2x = -8 + 3 + -4x

Combine like terms: -8 + 3 = -5
4 + 2x = -5 + -4x

Solving
4 + 2x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + 2x + 4x = -5 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
4 + 6x = -5 + 0
4 + 6x = -5

Add '-4' to each side of the equation.
4 + -4 + 6x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -5 + -4
6x = -5 + -4

Combine like terms: -5 + -4 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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