(3x-13)-(2x+4)+116=180

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Solution for (3x-13)-(2x+4)+116=180 equation:


Simplifying
(3x + -13) + -1(2x + 4) + 116 = 180

Reorder the terms:
(-13 + 3x) + -1(2x + 4) + 116 = 180

Remove parenthesis around (-13 + 3x)
-13 + 3x + -1(2x + 4) + 116 = 180

Reorder the terms:
-13 + 3x + -1(4 + 2x) + 116 = 180
-13 + 3x + (4 * -1 + 2x * -1) + 116 = 180
-13 + 3x + (-4 + -2x) + 116 = 180

Reorder the terms:
-13 + -4 + 116 + 3x + -2x = 180

Combine like terms: -13 + -4 = -17
-17 + 116 + 3x + -2x = 180

Combine like terms: -17 + 116 = 99
99 + 3x + -2x = 180

Combine like terms: 3x + -2x = 1x
99 + 1x = 180

Solving
99 + 1x = 180

Solving for variable 'x'.

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

Add '-99' to each side of the equation.
99 + -99 + 1x = 180 + -99

Combine like terms: 99 + -99 = 0
0 + 1x = 180 + -99
1x = 180 + -99

Combine like terms: 180 + -99 = 81
1x = 81

Divide each side by '1'.
x = 81

Simplifying
x = 81

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