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

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


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

Reorder the terms:
2(-8 + x) = 5(5 + -2x) + -5
(-8 * 2 + x * 2) = 5(5 + -2x) + -5
(-16 + 2x) = 5(5 + -2x) + -5
-16 + 2x = (5 * 5 + -2x * 5) + -5
-16 + 2x = (25 + -10x) + -5

Reorder the terms:
-16 + 2x = 25 + -5 + -10x

Combine like terms: 25 + -5 = 20
-16 + 2x = 20 + -10x

Solving
-16 + 2x = 20 + -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.
-16 + 2x + 10x = 20 + -10x + 10x

Combine like terms: 2x + 10x = 12x
-16 + 12x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
-16 + 12x = 20 + 0
-16 + 12x = 20

Add '16' to each side of the equation.
-16 + 16 + 12x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = 20 + 16
12x = 20 + 16

Combine like terms: 20 + 16 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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