2(x-9)=12-(x+2)

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Solution for 2(x-9)=12-(x+2) equation:


Simplifying
2(x + -9) = 12 + -1(x + 2)

Reorder the terms:
2(-9 + x) = 12 + -1(x + 2)
(-9 * 2 + x * 2) = 12 + -1(x + 2)
(-18 + 2x) = 12 + -1(x + 2)

Reorder the terms:
-18 + 2x = 12 + -1(2 + x)
-18 + 2x = 12 + (2 * -1 + x * -1)
-18 + 2x = 12 + (-2 + -1x)

Combine like terms: 12 + -2 = 10
-18 + 2x = 10 + -1x

Solving
-18 + 2x = 10 + -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 = 10 + -1x + x

Combine like terms: 2x + x = 3x
-18 + 3x = 10 + -1x + x

Combine like terms: -1x + x = 0
-18 + 3x = 10 + 0
-18 + 3x = 10

Add '18' to each side of the equation.
-18 + 18 + 3x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 10 + 18
3x = 10 + 18

Combine like terms: 10 + 18 = 28
3x = 28

Divide each side by '3'.
x = 9.333333333

Simplifying
x = 9.333333333

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