2y+3x-4=y+2x-8

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Solution for 2y+3x-4=y+2x-8 equation: 


Simplifying
2y + 3x + -4 = y + 2x + -8

Reorder the terms:
-4 + 3x + 2y = y + 2x + -8

Reorder the terms:
-4 + 3x + 2y = -8 + 2x + y

Solving
-4 + 3x + 2y = -8 + 2x + y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 3x + -2x + 2y = -8 + 2x + -2x + y

Combine like terms: 3x + -2x = 1x
-4 + 1x + 2y = -8 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
-4 + 1x + 2y = -8 + 0 + y
-4 + 1x + 2y = -8 + y

Add '4' to each side of the equation.
-4 + 1x + 4 + 2y = -8 + 4 + y

Reorder the terms:
-4 + 4 + 1x + 2y = -8 + 4 + y

Combine like terms: -4 + 4 = 0
0 + 1x + 2y = -8 + 4 + y
1x + 2y = -8 + 4 + y

Combine like terms: -8 + 4 = -4
1x + 2y = -4 + y

Add '-2y' to each side of the equation.
1x + 2y + -2y = -4 + y + -2y

Combine like terms: 2y + -2y = 0
1x + 0 = -4 + y + -2y
1x = -4 + y + -2y

Combine like terms: y + -2y = -1y
1x = -4 + -1y

Divide each side by '1'.
x = -4 + -1y

Simplifying
x = -4 + -1y

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