4(x+8)=.5(4x-8)

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Solution for 4(x+8)=.5(4x-8) equation: 


Simplifying
4(x + 8) = 0.5(4x + -8)

Reorder the terms:
4(8 + x) = 0.5(4x + -8)
(8 * 4 + x * 4) = 0.5(4x + -8)
(32 + 4x) = 0.5(4x + -8)

Reorder the terms:
32 + 4x = 0.5(-8 + 4x)
32 + 4x = (-8 * 0.5 + 4x * 0.5)
32 + 4x = (-4 + 2x)

Solving
32 + 4x = -4 + 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.
32 + 4x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
32 + 2x = -4 + 0
32 + 2x = -4

Add '-32' to each side of the equation.
32 + -32 + 2x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = -4 + -32
2x = -4 + -32

Combine like terms: -4 + -32 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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