2(x-8)=-x+5

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


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

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

Reorder the terms:
-16 + 2x = 5 + -1x

Solving
-16 + 2x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + 2x + x = 5 + -1x + x

Combine like terms: 2x + x = 3x
-16 + 3x = 5 + -1x + x

Combine like terms: -1x + x = 0
-16 + 3x = 5 + 0
-16 + 3x = 5

Add '16' to each side of the equation.
-16 + 16 + 3x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 5 + 16
3x = 5 + 16

Combine like terms: 5 + 16 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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