2x+(x-45)+(x-15)=180

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Solution for 2x+(x-45)+(x-15)=180 equation:


Simplifying
2x + (x + -45) + (x + -15) = 180

Reorder the terms:
2x + (-45 + x) + (x + -15) = 180

Remove parenthesis around (-45 + x)
2x + -45 + x + (x + -15) = 180

Reorder the terms:
2x + -45 + x + (-15 + x) = 180

Remove parenthesis around (-15 + x)
2x + -45 + x + -15 + x = 180

Reorder the terms:
-45 + -15 + 2x + x + x = 180

Combine like terms: -45 + -15 = -60
-60 + 2x + x + x = 180

Combine like terms: 2x + x = 3x
-60 + 3x + x = 180

Combine like terms: 3x + x = 4x
-60 + 4x = 180

Solving
-60 + 4x = 180

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 4x = 180 + 60

Combine like terms: -60 + 60 = 0
0 + 4x = 180 + 60
4x = 180 + 60

Combine like terms: 180 + 60 = 240
4x = 240

Divide each side by '4'.
x = 60

Simplifying
x = 60

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