(4x+27)+(9x-115)=107

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Solution for (4x+27)+(9x-115)=107 equation:


Simplifying
(4x + 27) + (9x + -115) = 107

Reorder the terms:
(27 + 4x) + (9x + -115) = 107

Remove parenthesis around (27 + 4x)
27 + 4x + (9x + -115) = 107

Reorder the terms:
27 + 4x + (-115 + 9x) = 107

Remove parenthesis around (-115 + 9x)
27 + 4x + -115 + 9x = 107

Reorder the terms:
27 + -115 + 4x + 9x = 107

Combine like terms: 27 + -115 = -88
-88 + 4x + 9x = 107

Combine like terms: 4x + 9x = 13x
-88 + 13x = 107

Solving
-88 + 13x = 107

Solving for variable 'x'.

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

Add '88' to each side of the equation.
-88 + 88 + 13x = 107 + 88

Combine like terms: -88 + 88 = 0
0 + 13x = 107 + 88
13x = 107 + 88

Combine like terms: 107 + 88 = 195
13x = 195

Divide each side by '13'.
x = 15

Simplifying
x = 15

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