4(x+2)+8=4+2(x-2)

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Solution for 4(x+2)+8=4+2(x-2) equation:


Simplifying
4(x + 2) + 8 = 4 + 2(x + -2)

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

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

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

Reorder the terms:
16 + 4x = 4 + 2(-2 + x)
16 + 4x = 4 + (-2 * 2 + x * 2)
16 + 4x = 4 + (-4 + 2x)

Combine like terms: 4 + -4 = 0
16 + 4x = 0 + 2x
16 + 4x = 2x

Solving
16 + 4x = 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.
16 + 4x + -2x = 2x + -2x

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

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 0 + -16

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

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

Divide each side by '2'.
x = -8

Simplifying
x = -8

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