40+(x-20)+(x-10)+(.5x)=360

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Solution for 40+(x-20)+(x-10)+(.5x)=360 equation: 


Simplifying
40 + (x + -20) + (x + -10) + (0.5x) = 360

Reorder the terms:
40 + (-20 + x) + (x + -10) + (0.5x) = 360

Remove parenthesis around (-20 + x)
40 + -20 + x + (x + -10) + (0.5x) = 360

Reorder the terms:
40 + -20 + x + (-10 + x) + (0.5x) = 360

Remove parenthesis around (-10 + x)
40 + -20 + x + -10 + x + (0.5x) = 360

Reorder the terms:
40 + -20 + -10 + x + x + (0.5x) = 360

Combine like terms: 40 + -20 = 20
20 + -10 + x + x + (0.5x) = 360

Combine like terms: 20 + -10 = 10
10 + x + x + (0.5x) = 360

Combine like terms: x + x = 2x
10 + 2x + (0.5x) = 360

Combine like terms: 2x + (0.5x) = 2.5x
10 + 2.5x = 360

Solving
10 + 2.5x = 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 + 2.5x = 360 + -10

Combine like terms: 10 + -10 = 0
0 + 2.5x = 360 + -10
2.5x = 360 + -10

Combine like terms: 360 + -10 = 350
2.5x = 350

Divide each side by '2.5'.
x = 140

Simplifying
x = 140

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