5x+y-1=8x-2y+2

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Solution for 5x+y-1=8x-2y+2 equation:


Simplifying
5x + y + -1 = 8x + -2y + 2

Reorder the terms:
-1 + 5x + y = 8x + -2y + 2

Reorder the terms:
-1 + 5x + y = 2 + 8x + -2y

Solving
-1 + 5x + y = 2 + 8x + -2y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 5x + -8x + y = 2 + 8x + -8x + -2y

Combine like terms: 5x + -8x = -3x
-1 + -3x + y = 2 + 8x + -8x + -2y

Combine like terms: 8x + -8x = 0
-1 + -3x + y = 2 + 0 + -2y
-1 + -3x + y = 2 + -2y

Add '1' to each side of the equation.
-1 + -3x + 1 + y = 2 + 1 + -2y

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

Combine like terms: -1 + 1 = 0
0 + -3x + y = 2 + 1 + -2y
-3x + y = 2 + 1 + -2y

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

Add '-1y' to each side of the equation.
-3x + y + -1y = 3 + -2y + -1y

Combine like terms: y + -1y = 0
-3x + 0 = 3 + -2y + -1y
-3x = 3 + -2y + -1y

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

Divide each side by '-3'.
x = -1 + y

Simplifying
x = -1 + y

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