-2x-3y+1=-x-4y+4

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Solution for -2x-3y+1=-x-4y+4 equation:


Simplifying
-2x + -3y + 1 = -1x + -4y + 4

Reorder the terms:
1 + -2x + -3y = -1x + -4y + 4

Reorder the terms:
1 + -2x + -3y = 4 + -1x + -4y

Solving
1 + -2x + -3y = 4 + -1x + -4y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + -2x + x + -3y = 4 + -1x + x + -4y

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

Combine like terms: -1x + x = 0
1 + -1x + -3y = 4 + 0 + -4y
1 + -1x + -3y = 4 + -4y

Add '-1' to each side of the equation.
1 + -1x + -1 + -3y = 4 + -1 + -4y

Reorder the terms:
1 + -1 + -1x + -3y = 4 + -1 + -4y

Combine like terms: 1 + -1 = 0
0 + -1x + -3y = 4 + -1 + -4y
-1x + -3y = 4 + -1 + -4y

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

Add '3y' to each side of the equation.
-1x + -3y + 3y = 3 + -4y + 3y

Combine like terms: -3y + 3y = 0
-1x + 0 = 3 + -4y + 3y
-1x = 3 + -4y + 3y

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

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

Simplifying
x = -3 + y

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