x+(3x-5)+(x-15)=180

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Solution for x+(3x-5)+(x-15)=180 equation:


Simplifying
x + (3x + -5) + (x + -15) = 180

Reorder the terms:
x + (-5 + 3x) + (x + -15) = 180

Remove parenthesis around (-5 + 3x)
x + -5 + 3x + (x + -15) = 180

Reorder the terms:
x + -5 + 3x + (-15 + x) = 180

Remove parenthesis around (-15 + x)
x + -5 + 3x + -15 + x = 180

Reorder the terms:
-5 + -15 + x + 3x + x = 180

Combine like terms: -5 + -15 = -20
-20 + x + 3x + x = 180

Combine like terms: x + 3x = 4x
-20 + 4x + x = 180

Combine like terms: 4x + x = 5x
-20 + 5x = 180

Solving
-20 + 5x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 5x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 180 + 20
5x = 180 + 20

Combine like terms: 180 + 20 = 200
5x = 200

Divide each side by '5'.
x = 40

Simplifying
x = 40

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