3x-y+10=y+x+50

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Solution for 3x-y+10=y+x+50 equation: 


Simplifying
3x + -1y + 10 = y + x + 50

Reorder the terms:
10 + 3x + -1y = y + x + 50

Reorder the terms:
10 + 3x + -1y = 50 + x + y

Solving
10 + 3x + -1y = 50 + x + y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 3x + -1x + -1y = 50 + x + -1x + y

Combine like terms: 3x + -1x = 2x
10 + 2x + -1y = 50 + x + -1x + y

Combine like terms: x + -1x = 0
10 + 2x + -1y = 50 + 0 + y
10 + 2x + -1y = 50 + y

Add '-10' to each side of the equation.
10 + 2x + -10 + -1y = 50 + -10 + y

Reorder the terms:
10 + -10 + 2x + -1y = 50 + -10 + y

Combine like terms: 10 + -10 = 0
0 + 2x + -1y = 50 + -10 + y
2x + -1y = 50 + -10 + y

Combine like terms: 50 + -10 = 40
2x + -1y = 40 + y

Add 'y' to each side of the equation.
2x + -1y + y = 40 + y + y

Combine like terms: -1y + y = 0
2x + 0 = 40 + y + y
2x = 40 + y + y

Combine like terms: y + y = 2y
2x = 40 + 2y

Divide each side by '2'.
x = 20 + y

Simplifying
x = 20 + y

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