2(2-x)=14-8(2x+5)

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Solution for 2(2-x)=14-8(2x+5) equation: 


Simplifying
2(2 + -1x) = 14 + -8(2x + 5)
(2 * 2 + -1x * 2) = 14 + -8(2x + 5)
(4 + -2x) = 14 + -8(2x + 5)

Reorder the terms:
4 + -2x = 14 + -8(5 + 2x)
4 + -2x = 14 + (5 * -8 + 2x * -8)
4 + -2x = 14 + (-40 + -16x)

Combine like terms: 14 + -40 = -26
4 + -2x = -26 + -16x

Solving
4 + -2x = -26 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
4 + -2x + 16x = -26 + -16x + 16x

Combine like terms: -2x + 16x = 14x
4 + 14x = -26 + -16x + 16x

Combine like terms: -16x + 16x = 0
4 + 14x = -26 + 0
4 + 14x = -26

Add '-4' to each side of the equation.
4 + -4 + 14x = -26 + -4

Combine like terms: 4 + -4 = 0
0 + 14x = -26 + -4
14x = -26 + -4

Combine like terms: -26 + -4 = -30
14x = -30

Divide each side by '14'.
x = -2.142857143

Simplifying
x = -2.142857143

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