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

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


Simplifying
(2x + 3) + (2x + -13) + x = 180

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

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

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

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

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

Combine like terms: 3 + -13 = -10
-10 + 2x + 2x + x = 180

Combine like terms: 2x + 2x = 4x
-10 + 4x + x = 180

Combine like terms: 4x + x = 5x
-10 + 5x = 180

Solving
-10 + 5x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 180 + 10
5x = 180 + 10

Combine like terms: 180 + 10 = 190
5x = 190

Divide each side by '5'.
x = 38

Simplifying
x = 38

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