2x+y-1=x+3y

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Solution for 2x+y-1=x+3y equation:


Simplifying
2x + y + -1 = x + 3y

Reorder the terms:
-1 + 2x + y = x + 3y

Solving
-1 + 2x + y = x + 3y

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

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

Combine like terms: x + -1x = 0
-1 + 1x + y = 0 + 3y
-1 + 1x + y = 3y

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

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

Combine like terms: -1 + 1 = 0
0 + 1x + y = 1 + 3y
1x + y = 1 + 3y

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

Combine like terms: y + -1y = 0
1x + 0 = 1 + 3y + -1y
1x = 1 + 3y + -1y

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

Divide each side by '1'.
x = 1 + 2y

Simplifying
x = 1 + 2y

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