5+2(x-8)=-(x-7)

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Solution for 5+2(x-8)=-(x-7) equation:


Simplifying
5 + 2(x + -8) = -1(x + -7)

Reorder the terms:
5 + 2(-8 + x) = -1(x + -7)
5 + (-8 * 2 + x * 2) = -1(x + -7)
5 + (-16 + 2x) = -1(x + -7)

Combine like terms: 5 + -16 = -11
-11 + 2x = -1(x + -7)

Reorder the terms:
-11 + 2x = -1(-7 + x)
-11 + 2x = (-7 * -1 + x * -1)
-11 + 2x = (7 + -1x)

Solving
-11 + 2x = 7 + -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.
-11 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
-11 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-11 + 3x = 7 + 0
-11 + 3x = 7

Add '11' to each side of the equation.
-11 + 11 + 3x = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 7 + 11
3x = 7 + 11

Combine like terms: 7 + 11 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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