9+2(x-6)=9-2(x-9)

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Solution for 9+2(x-6)=9-2(x-9) equation:


Simplifying
9 + 2(x + -6) = 9 + -2(x + -9)

Reorder the terms:
9 + 2(-6 + x) = 9 + -2(x + -9)
9 + (-6 * 2 + x * 2) = 9 + -2(x + -9)
9 + (-12 + 2x) = 9 + -2(x + -9)

Combine like terms: 9 + -12 = -3
-3 + 2x = 9 + -2(x + -9)

Reorder the terms:
-3 + 2x = 9 + -2(-9 + x)
-3 + 2x = 9 + (-9 * -2 + x * -2)
-3 + 2x = 9 + (18 + -2x)

Combine like terms: 9 + 18 = 27
-3 + 2x = 27 + -2x

Solving
-3 + 2x = 27 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-3 + 2x + 2x = 27 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-3 + 4x = 27 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 4x = 27 + 0
-3 + 4x = 27

Add '3' to each side of the equation.
-3 + 3 + 4x = 27 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 27 + 3
4x = 27 + 3

Combine like terms: 27 + 3 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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