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

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


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

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

Reorder the terms:
-8 + 4x = 16 + -8x

Solving
-8 + 4x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 4x + 8x = 16 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-8 + 12x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 12x = 16 + 0
-8 + 12x = 16

Add '8' to each side of the equation.
-8 + 8 + 12x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = 16 + 8
12x = 16 + 8

Combine like terms: 16 + 8 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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