2(5x+8)=-(x+17)

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Solution for 2(5x+8)=-(x+17) equation: 


Simplifying
2(5x + 8) = -1(x + 17)

Reorder the terms:
2(8 + 5x) = -1(x + 17)
(8 * 2 + 5x * 2) = -1(x + 17)
(16 + 10x) = -1(x + 17)

Reorder the terms:
16 + 10x = -1(17 + x)
16 + 10x = (17 * -1 + x * -1)
16 + 10x = (-17 + -1x)

Solving
16 + 10x = -17 + -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 + 10x + x = -17 + -1x + x

Combine like terms: 10x + x = 11x
16 + 11x = -17 + -1x + x

Combine like terms: -1x + x = 0
16 + 11x = -17 + 0
16 + 11x = -17

Add '-16' to each side of the equation.
16 + -16 + 11x = -17 + -16

Combine like terms: 16 + -16 = 0
0 + 11x = -17 + -16
11x = -17 + -16

Combine like terms: -17 + -16 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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