2(2x-4)=3x-20-x

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Solution for 2(2x-4)=3x-20-x equation:


Simplifying
2(2x + -4) = 3x + -20 + -1x

Reorder the terms:
2(-4 + 2x) = 3x + -20 + -1x
(-4 * 2 + 2x * 2) = 3x + -20 + -1x
(-8 + 4x) = 3x + -20 + -1x

Reorder the terms:
-8 + 4x = -20 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-8 + 4x = -20 + 2x

Solving
-8 + 4x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 4x + -2x = -20 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-8 + 2x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 2x = -20 + 0
-8 + 2x = -20

Add '8' to each side of the equation.
-8 + 8 + 2x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -20 + 8
2x = -20 + 8

Combine like terms: -20 + 8 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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