(x+20)+(3x+15)+(x-30)=180

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Solution for (x+20)+(3x+15)+(x-30)=180 equation:


Simplifying
(x + 20) + (3x + 15) + (x + -30) = 180

Reorder the terms:
(20 + x) + (3x + 15) + (x + -30) = 180

Remove parenthesis around (20 + x)
20 + x + (3x + 15) + (x + -30) = 180

Reorder the terms:
20 + x + (15 + 3x) + (x + -30) = 180

Remove parenthesis around (15 + 3x)
20 + x + 15 + 3x + (x + -30) = 180

Reorder the terms:
20 + x + 15 + 3x + (-30 + x) = 180

Remove parenthesis around (-30 + x)
20 + x + 15 + 3x + -30 + x = 180

Reorder the terms:
20 + 15 + -30 + x + 3x + x = 180

Combine like terms: 20 + 15 = 35
35 + -30 + x + 3x + x = 180

Combine like terms: 35 + -30 = 5
5 + x + 3x + x = 180

Combine like terms: x + 3x = 4x
5 + 4x + x = 180

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

Solving
5 + 5x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + -5 = 175
5x = 175

Divide each side by '5'.
x = 35

Simplifying
x = 35

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