3x+y-50=x+2y-16

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Solution for 3x+y-50=x+2y-16 equation:


Simplifying
3x + y + -50 = x + 2y + -16

Reorder the terms:
-50 + 3x + y = x + 2y + -16

Reorder the terms:
-50 + 3x + y = -16 + x + 2y

Solving
-50 + 3x + y = -16 + x + 2y

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.
-50 + 3x + -1x + y = -16 + x + -1x + 2y

Combine like terms: 3x + -1x = 2x
-50 + 2x + y = -16 + x + -1x + 2y

Combine like terms: x + -1x = 0
-50 + 2x + y = -16 + 0 + 2y
-50 + 2x + y = -16 + 2y

Add '50' to each side of the equation.
-50 + 2x + 50 + y = -16 + 50 + 2y

Reorder the terms:
-50 + 50 + 2x + y = -16 + 50 + 2y

Combine like terms: -50 + 50 = 0
0 + 2x + y = -16 + 50 + 2y
2x + y = -16 + 50 + 2y

Combine like terms: -16 + 50 = 34
2x + y = 34 + 2y

Add '-1y' to each side of the equation.
2x + y + -1y = 34 + 2y + -1y

Combine like terms: y + -1y = 0
2x + 0 = 34 + 2y + -1y
2x = 34 + 2y + -1y

Combine like terms: 2y + -1y = 1y
2x = 34 + 1y

Divide each side by '2'.
x = 17 + 0.5y

Simplifying
x = 17 + 0.5y

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