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

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


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

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

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

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

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

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

Combine like terms: -10 + 30 = 20
20 + x + x + x + 2x = 360

Combine like terms: x + x = 2x
20 + 2x + x + 2x = 360

Combine like terms: 2x + x = 3x
20 + 3x + 2x = 360

Combine like terms: 3x + 2x = 5x
20 + 5x = 360

Solving
20 + 5x = 360

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 = 360 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 360 + -20
5x = 360 + -20

Combine like terms: 360 + -20 = 340
5x = 340

Divide each side by '5'.
x = 68

Simplifying
x = 68

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