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

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


Simplifying
2(-1x + 8) = 5(x + 2) + -2

Reorder the terms:
2(8 + -1x) = 5(x + 2) + -2
(8 * 2 + -1x * 2) = 5(x + 2) + -2
(16 + -2x) = 5(x + 2) + -2

Reorder the terms:
16 + -2x = 5(2 + x) + -2
16 + -2x = (2 * 5 + x * 5) + -2
16 + -2x = (10 + 5x) + -2

Reorder the terms:
16 + -2x = 10 + -2 + 5x

Combine like terms: 10 + -2 = 8
16 + -2x = 8 + 5x

Solving
16 + -2x = 8 + 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.
16 + -2x + -5x = 8 + 5x + -5x

Combine like terms: -2x + -5x = -7x
16 + -7x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -7x = 8 + 0
16 + -7x = 8

Add '-16' to each side of the equation.
16 + -16 + -7x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 8 + -16
-7x = 8 + -16

Combine like terms: 8 + -16 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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