20-(2x+6)=5(2-2x)+2x

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Solution for 20-(2x+6)=5(2-2x)+2x equation:


Simplifying
20 + -1(2x + 6) = 5(2 + -2x) + 2x

Reorder the terms:
20 + -1(6 + 2x) = 5(2 + -2x) + 2x
20 + (6 * -1 + 2x * -1) = 5(2 + -2x) + 2x
20 + (-6 + -2x) = 5(2 + -2x) + 2x

Combine like terms: 20 + -6 = 14
14 + -2x = 5(2 + -2x) + 2x
14 + -2x = (2 * 5 + -2x * 5) + 2x
14 + -2x = (10 + -10x) + 2x

Combine like terms: -10x + 2x = -8x
14 + -2x = 10 + -8x

Solving
14 + -2x = 10 + -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.
14 + -2x + 8x = 10 + -8x + 8x

Combine like terms: -2x + 8x = 6x
14 + 6x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
14 + 6x = 10 + 0
14 + 6x = 10

Add '-14' to each side of the equation.
14 + -14 + 6x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 10 + -14
6x = 10 + -14

Combine like terms: 10 + -14 = -4
6x = -4

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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