(X+13)+(3x+12)+(2x-7)=180

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Solution for (X+13)+(3x+12)+(2x-7)=180 equation:


Simplifying
(X + 13) + (3x + 12) + (2x + -7) = 180

Reorder the terms:
(13 + X) + (3x + 12) + (2x + -7) = 180

Remove parenthesis around (13 + X)
13 + X + (3x + 12) + (2x + -7) = 180

Reorder the terms:
13 + X + (12 + 3x) + (2x + -7) = 180

Remove parenthesis around (12 + 3x)
13 + X + 12 + 3x + (2x + -7) = 180

Reorder the terms:
13 + X + 12 + 3x + (-7 + 2x) = 180

Remove parenthesis around (-7 + 2x)
13 + X + 12 + 3x + -7 + 2x = 180

Reorder the terms:
13 + 12 + -7 + X + 3x + 2x = 180

Combine like terms: 13 + 12 = 25
25 + -7 + X + 3x + 2x = 180

Combine like terms: 25 + -7 = 18
18 + X + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
18 + X + 5x = 180

Solving
18 + X + 5x = 180

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + X + -18 + 5x = 180 + -18

Reorder the terms:
18 + -18 + X + 5x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + X + 5x = 180 + -18
X + 5x = 180 + -18

Combine like terms: 180 + -18 = 162
X + 5x = 162

Add '-5x' to each side of the equation.
X + 5x + -5x = 162 + -5x

Combine like terms: 5x + -5x = 0
X + 0 = 162 + -5x
X = 162 + -5x

Simplifying
X = 162 + -5x

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