2x-8(x+9)=2-(x-9)

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Solution for 2x-8(x+9)=2-(x-9) equation:


Simplifying
2x + -8(x + 9) = 2 + -1(x + -9)

Reorder the terms:
2x + -8(9 + x) = 2 + -1(x + -9)
2x + (9 * -8 + x * -8) = 2 + -1(x + -9)
2x + (-72 + -8x) = 2 + -1(x + -9)

Reorder the terms:
-72 + 2x + -8x = 2 + -1(x + -9)

Combine like terms: 2x + -8x = -6x
-72 + -6x = 2 + -1(x + -9)

Reorder the terms:
-72 + -6x = 2 + -1(-9 + x)
-72 + -6x = 2 + (-9 * -1 + x * -1)
-72 + -6x = 2 + (9 + -1x)

Combine like terms: 2 + 9 = 11
-72 + -6x = 11 + -1x

Solving
-72 + -6x = 11 + -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.
-72 + -6x + x = 11 + -1x + x

Combine like terms: -6x + x = -5x
-72 + -5x = 11 + -1x + x

Combine like terms: -1x + x = 0
-72 + -5x = 11 + 0
-72 + -5x = 11

Add '72' to each side of the equation.
-72 + 72 + -5x = 11 + 72

Combine like terms: -72 + 72 = 0
0 + -5x = 11 + 72
-5x = 11 + 72

Combine like terms: 11 + 72 = 83
-5x = 83

Divide each side by '-5'.
x = -16.6

Simplifying
x = -16.6

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