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

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


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

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

Combine like terms: 20 + -6 = 14
14 + -2x = 5(2 + -1x) + 2
14 + -2x = (2 * 5 + -1x * 5) + 2
14 + -2x = (10 + -5x) + 2

Reorder the terms:
14 + -2x = 10 + 2 + -5x

Combine like terms: 10 + 2 = 12
14 + -2x = 12 + -5x

Solving
14 + -2x = 12 + -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.
14 + -2x + 5x = 12 + -5x + 5x

Combine like terms: -2x + 5x = 3x
14 + 3x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 3x = 12 + 0
14 + 3x = 12

Add '-14' to each side of the equation.
14 + -14 + 3x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 12 + -14
3x = 12 + -14

Combine like terms: 12 + -14 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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