3+2(x-8)=5-9(x-9)

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Solution for 3+2(x-8)=5-9(x-9) equation: 


Simplifying
3 + 2(x + -8) = 5 + -9(x + -9)

Reorder the terms:
3 + 2(-8 + x) = 5 + -9(x + -9)
3 + (-8 * 2 + x * 2) = 5 + -9(x + -9)
3 + (-16 + 2x) = 5 + -9(x + -9)

Combine like terms: 3 + -16 = -13
-13 + 2x = 5 + -9(x + -9)

Reorder the terms:
-13 + 2x = 5 + -9(-9 + x)
-13 + 2x = 5 + (-9 * -9 + x * -9)
-13 + 2x = 5 + (81 + -9x)

Combine like terms: 5 + 81 = 86
-13 + 2x = 86 + -9x

Solving
-13 + 2x = 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.
-13 + 2x + 9x = 86 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-13 + 11x = 86 + -9x + 9x

Combine like terms: -9x + 9x = 0
-13 + 11x = 86 + 0
-13 + 11x = 86

Add '13' to each side of the equation.
-13 + 13 + 11x = 86 + 13

Combine like terms: -13 + 13 = 0
0 + 11x = 86 + 13
11x = 86 + 13

Combine like terms: 86 + 13 = 99
11x = 99

Divide each side by '11'.
x = 9

Simplifying
x = 9

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