2(x-4)=56-6x

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Solution for 2(x-4)=56-6x equation:


Simplifying
2(x + -4) = 56 + -6x

Reorder the terms:
2(-4 + x) = 56 + -6x
(-4 * 2 + x * 2) = 56 + -6x
(-8 + 2x) = 56 + -6x

Solving
-8 + 2x = 56 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 2x + 6x = 56 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-8 + 8x = 56 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 8x = 56 + 0
-8 + 8x = 56

Add '8' to each side of the equation.
-8 + 8 + 8x = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 56 + 8
8x = 56 + 8

Combine like terms: 56 + 8 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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