(x+35)+(x+15)+(2x-20)+2x+90=360

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Solution for (x+35)+(x+15)+(2x-20)+2x+90=360 equation:


Simplifying
(x + 35) + (x + 15) + (2x + -20) + 2x + 90 = 360

Reorder the terms:
(35 + x) + (x + 15) + (2x + -20) + 2x + 90 = 360

Remove parenthesis around (35 + x)
35 + x + (x + 15) + (2x + -20) + 2x + 90 = 360

Reorder the terms:
35 + x + (15 + x) + (2x + -20) + 2x + 90 = 360

Remove parenthesis around (15 + x)
35 + x + 15 + x + (2x + -20) + 2x + 90 = 360

Reorder the terms:
35 + x + 15 + x + (-20 + 2x) + 2x + 90 = 360

Remove parenthesis around (-20 + 2x)
35 + x + 15 + x + -20 + 2x + 2x + 90 = 360

Reorder the terms:
35 + 15 + -20 + 90 + x + x + 2x + 2x = 360

Combine like terms: 35 + 15 = 50
50 + -20 + 90 + x + x + 2x + 2x = 360

Combine like terms: 50 + -20 = 30
30 + 90 + x + x + 2x + 2x = 360

Combine like terms: 30 + 90 = 120
120 + x + x + 2x + 2x = 360

Combine like terms: x + x = 2x
120 + 2x + 2x + 2x = 360

Combine like terms: 2x + 2x = 4x
120 + 4x + 2x = 360

Combine like terms: 4x + 2x = 6x
120 + 6x = 360

Solving
120 + 6x = 360

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 6x = 360 + -120

Combine like terms: 120 + -120 = 0
0 + 6x = 360 + -120
6x = 360 + -120

Combine like terms: 360 + -120 = 240
6x = 240

Divide each side by '6'.
x = 40

Simplifying
x = 40

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