.333x+(x-10)+(x-20)+40=30

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Solution for .333x+(x-10)+(x-20)+40=30 equation: 


Simplifying
0.333x + (x + -10) + (x + -20) + 40 = 30

Reorder the terms:
0.333x + (-10 + x) + (x + -20) + 40 = 30

Remove parenthesis around (-10 + x)
0.333x + -10 + x + (x + -20) + 40 = 30

Reorder the terms:
0.333x + -10 + x + (-20 + x) + 40 = 30

Remove parenthesis around (-20 + x)
0.333x + -10 + x + -20 + x + 40 = 30

Reorder the terms:
-10 + -20 + 40 + 0.333x + x + x = 30

Combine like terms: -10 + -20 = -30
-30 + 40 + 0.333x + x + x = 30

Combine like terms: -30 + 40 = 10
10 + 0.333x + x + x = 30

Combine like terms: 0.333x + x = 1.333x
10 + 1.333x + x = 30

Combine like terms: 1.333x + x = 2.333x
10 + 2.333x = 30

Solving
10 + 2.333x = 30

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 + 2.333x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 2.333x = 30 + -10
2.333x = 30 + -10

Combine like terms: 30 + -10 = 20
2.333x = 20

Divide each side by '2.333'.
x = 8.572653236

Simplifying
x = 8.572653236

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