9(x+9)+2=-4(x-9)-5

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Solution for 9(x+9)+2=-4(x-9)-5 equation: 


Simplifying
9(x + 9) + 2 = -4(x + -9) + -5

Reorder the terms:
9(9 + x) + 2 = -4(x + -9) + -5
(9 * 9 + x * 9) + 2 = -4(x + -9) + -5
(81 + 9x) + 2 = -4(x + -9) + -5

Reorder the terms:
81 + 2 + 9x = -4(x + -9) + -5

Combine like terms: 81 + 2 = 83
83 + 9x = -4(x + -9) + -5

Reorder the terms:
83 + 9x = -4(-9 + x) + -5
83 + 9x = (-9 * -4 + x * -4) + -5
83 + 9x = (36 + -4x) + -5

Reorder the terms:
83 + 9x = 36 + -5 + -4x

Combine like terms: 36 + -5 = 31
83 + 9x = 31 + -4x

Solving
83 + 9x = 31 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
83 + 9x + 4x = 31 + -4x + 4x

Combine like terms: 9x + 4x = 13x
83 + 13x = 31 + -4x + 4x

Combine like terms: -4x + 4x = 0
83 + 13x = 31 + 0
83 + 13x = 31

Add '-83' to each side of the equation.
83 + -83 + 13x = 31 + -83

Combine like terms: 83 + -83 = 0
0 + 13x = 31 + -83
13x = 31 + -83

Combine like terms: 31 + -83 = -52
13x = -52

Divide each side by '13'.
x = -4

Simplifying
x = -4

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