(2x-50)+(x+40)+150+80+90+(x-20)=360

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Solution for (2x-50)+(x+40)+150+80+90+(x-20)=360 equation:


Simplifying
(2x + -50) + (x + 40) + 150 + 80 + 90 + (x + -20) = 360

Reorder the terms:
(-50 + 2x) + (x + 40) + 150 + 80 + 90 + (x + -20) = 360

Remove parenthesis around (-50 + 2x)
-50 + 2x + (x + 40) + 150 + 80 + 90 + (x + -20) = 360

Reorder the terms:
-50 + 2x + (40 + x) + 150 + 80 + 90 + (x + -20) = 360

Remove parenthesis around (40 + x)
-50 + 2x + 40 + x + 150 + 80 + 90 + (x + -20) = 360

Reorder the terms:
-50 + 2x + 40 + x + 150 + 80 + 90 + (-20 + x) = 360

Remove parenthesis around (-20 + x)
-50 + 2x + 40 + x + 150 + 80 + 90 + -20 + x = 360

Reorder the terms:
-50 + 40 + 150 + 80 + 90 + -20 + 2x + x + x = 360

Combine like terms: -50 + 40 = -10
-10 + 150 + 80 + 90 + -20 + 2x + x + x = 360

Combine like terms: -10 + 150 = 140
140 + 80 + 90 + -20 + 2x + x + x = 360

Combine like terms: 140 + 80 = 220
220 + 90 + -20 + 2x + x + x = 360

Combine like terms: 220 + 90 = 310
310 + -20 + 2x + x + x = 360

Combine like terms: 310 + -20 = 290
290 + 2x + x + x = 360

Combine like terms: 2x + x = 3x
290 + 3x + x = 360

Combine like terms: 3x + x = 4x
290 + 4x = 360

Solving
290 + 4x = 360

Solving for variable 'x'.

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

Add '-290' to each side of the equation.
290 + -290 + 4x = 360 + -290

Combine like terms: 290 + -290 = 0
0 + 4x = 360 + -290
4x = 360 + -290

Combine like terms: 360 + -290 = 70
4x = 70

Divide each side by '4'.
x = 17.5

Simplifying
x = 17.5

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