9+3(x-9)=5-9(x-9)

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Solution for 9+3(x-9)=5-9(x-9) equation: 


Simplifying
9 + 3(x + -9) = 5 + -9(x + -9)

Reorder the terms:
9 + 3(-9 + x) = 5 + -9(x + -9)
9 + (-9 * 3 + x * 3) = 5 + -9(x + -9)
9 + (-27 + 3x) = 5 + -9(x + -9)

Combine like terms: 9 + -27 = -18
-18 + 3x = 5 + -9(x + -9)

Reorder the terms:
-18 + 3x = 5 + -9(-9 + x)
-18 + 3x = 5 + (-9 * -9 + x * -9)
-18 + 3x = 5 + (81 + -9x)

Combine like terms: 5 + 81 = 86
-18 + 3x = 86 + -9x

Solving
-18 + 3x = 86 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-18 + 3x + 9x = 86 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-18 + 12x = 86 + -9x + 9x

Combine like terms: -9x + 9x = 0
-18 + 12x = 86 + 0
-18 + 12x = 86

Add '18' to each side of the equation.
-18 + 18 + 12x = 86 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 86 + 18
12x = 86 + 18

Combine like terms: 86 + 18 = 104
12x = 104

Divide each side by '12'.
x = 8.666666667

Simplifying
x = 8.666666667

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