x-(x-10)+50+(20-x)=50

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Solution for x-(x-10)+50+(20-x)=50 equation: 


Simplifying
x + -1(x + -10) + 50 + (20 + -1x) = 50

Reorder the terms:
x + -1(-10 + x) + 50 + (20 + -1x) = 50
x + (-10 * -1 + x * -1) + 50 + (20 + -1x) = 50
x + (10 + -1x) + 50 + (20 + -1x) = 50

Remove parenthesis around (20 + -1x)
x + 10 + -1x + 50 + 20 + -1x = 50

Reorder the terms:
10 + 50 + 20 + x + -1x + -1x = 50

Combine like terms: 10 + 50 = 60
60 + 20 + x + -1x + -1x = 50

Combine like terms: 60 + 20 = 80
80 + x + -1x + -1x = 50

Combine like terms: x + -1x = 0
80 + 0 + -1x = 50
80 + -1x = 50

Solving
80 + -1x = 50

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 + -1x = 50 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 50 + -80
-1x = 50 + -80

Combine like terms: 50 + -80 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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