2(x+7)=-(x-8)

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Solution for 2(x+7)=-(x-8) equation:


Simplifying
2(x + 7) = -1(x + -8)

Reorder the terms:
2(7 + x) = -1(x + -8)
(7 * 2 + x * 2) = -1(x + -8)
(14 + 2x) = -1(x + -8)

Reorder the terms:
14 + 2x = -1(-8 + x)
14 + 2x = (-8 * -1 + x * -1)
14 + 2x = (8 + -1x)

Solving
14 + 2x = 8 + -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.
14 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
14 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
14 + 3x = 8 + 0
14 + 3x = 8

Add '-14' to each side of the equation.
14 + -14 + 3x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 8 + -14
3x = 8 + -14

Combine like terms: 8 + -14 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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