(x-90)+(x+20)+(2x)+(x-10)=360

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Solution for (x-90)+(x+20)+(2x)+(x-10)=360 equation:


Simplifying
(x + -90) + (x + 20) + (2x) + (x + -10) = 360

Reorder the terms:
(-90 + x) + (x + 20) + (2x) + (x + -10) = 360

Remove parenthesis around (-90 + x)
-90 + x + (x + 20) + (2x) + (x + -10) = 360

Reorder the terms:
-90 + x + (20 + x) + (2x) + (x + -10) = 360

Remove parenthesis around (20 + x)
-90 + x + 20 + x + (2x) + (x + -10) = 360

Reorder the terms:
-90 + x + 20 + x + (2x) + (-10 + x) = 360

Remove parenthesis around (-10 + x)
-90 + x + 20 + x + (2x) + -10 + x = 360

Reorder the terms:
-90 + 20 + -10 + x + x + (2x) + x = 360

Combine like terms: -90 + 20 = -70
-70 + -10 + x + x + (2x) + x = 360

Combine like terms: -70 + -10 = -80
-80 + x + x + (2x) + x = 360

Combine like terms: x + x = 2x
-80 + 2x + (2x) + x = 360

Combine like terms: 2x + (2x) = 4x
-80 + 4x + x = 360

Combine like terms: 4x + x = 5x
-80 + 5x = 360

Solving
-80 + 5x = 360

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 5x = 360 + 80

Combine like terms: -80 + 80 = 0
0 + 5x = 360 + 80
5x = 360 + 80

Combine like terms: 360 + 80 = 440
5x = 440

Divide each side by '5'.
x = 88

Simplifying
x = 88

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