4(x+2)-2(x-4)=32

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Solution for 4(x+2)-2(x-4)=32 equation: 


Simplifying
4(x + 2) + -2(x + -4) = 32

Reorder the terms:
4(2 + x) + -2(x + -4) = 32
(2 * 4 + x * 4) + -2(x + -4) = 32
(8 + 4x) + -2(x + -4) = 32

Reorder the terms:
8 + 4x + -2(-4 + x) = 32
8 + 4x + (-4 * -2 + x * -2) = 32
8 + 4x + (8 + -2x) = 32

Reorder the terms:
8 + 8 + 4x + -2x = 32

Combine like terms: 8 + 8 = 16
16 + 4x + -2x = 32

Combine like terms: 4x + -2x = 2x
16 + 2x = 32

Solving
16 + 2x = 32

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 32 + -16
2x = 32 + -16

Combine like terms: 32 + -16 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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