(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 = 70
70 + 90 + x + x + 2x + 2x = 360

Combine like terms: 70 + 90 = 160
160 + x + x + 2x + 2x = 360

Combine like terms: x + x = 2x
160 + 2x + 2x + 2x = 360

Combine like terms: 2x + 2x = 4x
160 + 4x + 2x = 360

Combine like terms: 4x + 2x = 6x
160 + 6x = 360

Solving
160 + 6x = 360

Solving for variable 'x'.

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

Add '-160' to each side of the equation.
160 + -160 + 6x = 360 + -160

Combine like terms: 160 + -160 = 0
0 + 6x = 360 + -160
6x = 360 + -160

Combine like terms: 360 + -160 = 200
6x = 200

Divide each side by '6'.
x = 33.33333333

Simplifying
x = 33.33333333

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