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

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Solution for -2(x-8)=5x+2(x+1) equation: 


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

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

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

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

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

Solving
16 + -2x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + -2x + -7x = 2 + 7x + -7x

Combine like terms: -2x + -7x = -9x
16 + -9x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -9x = 2 + 0
16 + -9x = 2

Add '-16' to each side of the equation.
16 + -16 + -9x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = 2 + -16
-9x = 2 + -16

Combine like terms: 2 + -16 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

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