2(-x+5)+2=5(2x-7)

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Solution for 2(-x+5)+2=5(2x-7) equation: 


Simplifying
2(-1x + 5) + 2 = 5(2x + -7)

Reorder the terms:
2(5 + -1x) + 2 = 5(2x + -7)
(5 * 2 + -1x * 2) + 2 = 5(2x + -7)
(10 + -2x) + 2 = 5(2x + -7)

Reorder the terms:
10 + 2 + -2x = 5(2x + -7)

Combine like terms: 10 + 2 = 12
12 + -2x = 5(2x + -7)

Reorder the terms:
12 + -2x = 5(-7 + 2x)
12 + -2x = (-7 * 5 + 2x * 5)
12 + -2x = (-35 + 10x)

Solving
12 + -2x = -35 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + -2x + -10x = -35 + 10x + -10x

Combine like terms: -2x + -10x = -12x
12 + -12x = -35 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -12x = -35 + 0
12 + -12x = -35

Add '-12' to each side of the equation.
12 + -12 + -12x = -35 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = -35 + -12
-12x = -35 + -12

Combine like terms: -35 + -12 = -47
-12x = -47

Divide each side by '-12'.
x = 3.916666667

Simplifying
x = 3.916666667

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