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

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


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

Reorder the terms:
2(9 + x) = 2 + -1(x + -9)
(9 * 2 + x * 2) = 2 + -1(x + -9)
(18 + 2x) = 2 + -1(x + -9)

Reorder the terms:
18 + 2x = 2 + -1(-9 + x)
18 + 2x = 2 + (-9 * -1 + x * -1)
18 + 2x = 2 + (9 + -1x)

Combine like terms: 2 + 9 = 11
18 + 2x = 11 + -1x

Solving
18 + 2x = 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.
18 + 2x + x = 11 + -1x + x

Combine like terms: 2x + x = 3x
18 + 3x = 11 + -1x + x

Combine like terms: -1x + x = 0
18 + 3x = 11 + 0
18 + 3x = 11

Add '-18' to each side of the equation.
18 + -18 + 3x = 11 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 11 + -18
3x = 11 + -18

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

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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