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

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


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

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

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

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

Solving
14 + -2x = 10 + 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 = 10 + 5x + -5x

Combine like terms: -2x + -5x = -7x
14 + -7x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -7x = 10 + 0
14 + -7x = 10

Add '-14' to each side of the equation.
14 + -14 + -7x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = 10 + -14
-7x = 10 + -14

Combine like terms: 10 + -14 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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