2(x-8)=4x+16

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Solution for 2(x-8)=4x+16 equation:


Simplifying
2(x + -8) = 4x + 16

Reorder the terms:
2(-8 + x) = 4x + 16
(-8 * 2 + x * 2) = 4x + 16
(-16 + 2x) = 4x + 16

Reorder the terms:
-16 + 2x = 16 + 4x

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

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

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

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

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

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

Divide each side by '-2'.
x = -16

Simplifying
x = -16

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