0.333333333x+(x-10)+(x-20)+40=360

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Solution for 0.333333333x+(x-10)+(x-20)+40=360 equation:


Simplifying
0.333333333x + (x + -10) + (x + -20) + 40 = 360

Reorder the terms:
0.333333333x + (-10 + x) + (x + -20) + 40 = 360

Remove parenthesis around (-10 + x)
0.333333333x + -10 + x + (x + -20) + 40 = 360

Reorder the terms:
0.333333333x + -10 + x + (-20 + x) + 40 = 360

Remove parenthesis around (-20 + x)
0.333333333x + -10 + x + -20 + x + 40 = 360

Reorder the terms:
-10 + -20 + 40 + 0.333333333x + x + x = 360

Combine like terms: -10 + -20 = -30
-30 + 40 + 0.333333333x + x + x = 360

Combine like terms: -30 + 40 = 10
10 + 0.333333333x + x + x = 360

Combine like terms: 0.333333333x + x = 1.333333333x
10 + 1.333333333x + x = 360

Combine like terms: 1.333333333x + x = 2.333333333x
10 + 2.333333333x = 360

Solving
10 + 2.333333333x = 360

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2.333333333x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 2.333333333x = 360 + -10
2.333333333x = 360 + -10

Combine like terms: 360 + -10 = 350
2.333333333x = 350

Divide each side by '2.333333333'.
x = 150

Simplifying
x = 150

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