4(x-4)=4x+2x-20-x

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Solution for 4(x-4)=4x+2x-20-x equation:


Simplifying
4(x + -4) = 4x + 2x + -20 + -1x

Reorder the terms:
4(-4 + x) = 4x + 2x + -20 + -1x
(-4 * 4 + x * 4) = 4x + 2x + -20 + -1x
(-16 + 4x) = 4x + 2x + -20 + -1x

Reorder the terms:
-16 + 4x = -20 + 4x + 2x + -1x

Combine like terms: 4x + 2x = 6x
-16 + 4x = -20 + 6x + -1x

Combine like terms: 6x + -1x = 5x
-16 + 4x = -20 + 5x

Solving
-16 + 4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-16 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -1x = -20 + 0
-16 + -1x = -20

Add '16' to each side of the equation.
-16 + 16 + -1x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -20 + 16
-1x = -20 + 16

Combine like terms: -20 + 16 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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