x+(x+10)+(20x-10)+90=360

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Solution for x+(x+10)+(20x-10)+90=360 equation:


Simplifying
x + (x + 10) + (20x + -10) + 90 = 360

Reorder the terms:
x + (10 + x) + (20x + -10) + 90 = 360

Remove parenthesis around (10 + x)
x + 10 + x + (20x + -10) + 90 = 360

Reorder the terms:
x + 10 + x + (-10 + 20x) + 90 = 360

Remove parenthesis around (-10 + 20x)
x + 10 + x + -10 + 20x + 90 = 360

Reorder the terms:
10 + -10 + 90 + x + x + 20x = 360

Combine like terms: 10 + -10 = 0
0 + 90 + x + x + 20x = 360
90 + x + x + 20x = 360

Combine like terms: x + x = 2x
90 + 2x + 20x = 360

Combine like terms: 2x + 20x = 22x
90 + 22x = 360

Solving
90 + 22x = 360

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 22x = 360 + -90

Combine like terms: 90 + -90 = 0
0 + 22x = 360 + -90
22x = 360 + -90

Combine like terms: 360 + -90 = 270
22x = 270

Divide each side by '22'.
x = 12.27272727

Simplifying
x = 12.27272727

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