6(x-4)=56-4x

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


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

Reorder the terms:
6(-4 + x) = 56 + -4x
(-4 * 6 + x * 6) = 56 + -4x
(-24 + 6x) = 56 + -4x

Solving
-24 + 6x = 56 + -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.
-24 + 6x + 4x = 56 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-24 + 10x = 56 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 10x = 56 + 0
-24 + 10x = 56

Add '24' to each side of the equation.
-24 + 24 + 10x = 56 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 56 + 24
10x = 56 + 24

Combine like terms: 56 + 24 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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