x+16=0.5(4x-16+32)

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Solution for x+16=0.5(4x-16+32) equation:


Simplifying
x + 16 = 0.5(4x + -16 + 32)

Reorder the terms:
16 + x = 0.5(4x + -16 + 32)

Reorder the terms:
16 + x = 0.5(-16 + 32 + 4x)

Combine like terms: -16 + 32 = 16
16 + x = 0.5(16 + 4x)
16 + x = (16 * 0.5 + 4x * 0.5)
16 + x = (8 + 2x)

Solving
16 + x = 8 + 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 + x + -2x = 8 + 2x + -2x

Combine like terms: x + -2x = -1x
16 + -1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -1x = 8 + 0
16 + -1x = 8

Add '-16' to each side of the equation.
16 + -16 + -1x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 8 + -16
-1x = 8 + -16

Combine like terms: 8 + -16 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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