(3x+15)+(11x-45)=180

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Solution for (3x+15)+(11x-45)=180 equation:


Simplifying
(3x + 15) + (11x + -45) = 180

Reorder the terms:
(15 + 3x) + (11x + -45) = 180

Remove parenthesis around (15 + 3x)
15 + 3x + (11x + -45) = 180

Reorder the terms:
15 + 3x + (-45 + 11x) = 180

Remove parenthesis around (-45 + 11x)
15 + 3x + -45 + 11x = 180

Reorder the terms:
15 + -45 + 3x + 11x = 180

Combine like terms: 15 + -45 = -30
-30 + 3x + 11x = 180

Combine like terms: 3x + 11x = 14x
-30 + 14x = 180

Solving
-30 + 14x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 14x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 14x = 180 + 30
14x = 180 + 30

Combine like terms: 180 + 30 = 210
14x = 210

Divide each side by '14'.
x = 15

Simplifying
x = 15

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