(x+30)+(x+10)+(2x+30)+x=360

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Solution for (x+30)+(x+10)+(2x+30)+x=360 equation:


Simplifying
(x + 30) + (x + 10) + (2x + 30) + x = 360

Reorder the terms:
(30 + x) + (x + 10) + (2x + 30) + x = 360

Remove parenthesis around (30 + x)
30 + x + (x + 10) + (2x + 30) + x = 360

Reorder the terms:
30 + x + (10 + x) + (2x + 30) + x = 360

Remove parenthesis around (10 + x)
30 + x + 10 + x + (2x + 30) + x = 360

Reorder the terms:
30 + x + 10 + x + (30 + 2x) + x = 360

Remove parenthesis around (30 + 2x)
30 + x + 10 + x + 30 + 2x + x = 360

Reorder the terms:
30 + 10 + 30 + x + x + 2x + x = 360

Combine like terms: 30 + 10 = 40
40 + 30 + x + x + 2x + x = 360

Combine like terms: 40 + 30 = 70
70 + x + x + 2x + x = 360

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

Combine like terms: 2x + 2x = 4x
70 + 4x + x = 360

Combine like terms: 4x + x = 5x
70 + 5x = 360

Solving
70 + 5x = 360

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 5x = 360 + -70

Combine like terms: 70 + -70 = 0
0 + 5x = 360 + -70
5x = 360 + -70

Combine like terms: 360 + -70 = 290
5x = 290

Divide each side by '5'.
x = 58

Simplifying
x = 58

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