-3y+4x-10=-y+x-3

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Solution for -3y+4x-10=-y+x-3 equation:


Simplifying
-3y + 4x + -10 = -1y + x + -3

Reorder the terms:
-10 + 4x + -3y = -1y + x + -3

Reorder the terms:
-10 + 4x + -3y = -3 + x + -1y

Solving
-10 + 4x + -3y = -3 + x + -1y

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.
-10 + 4x + -1x + -3y = -3 + x + -1x + -1y

Combine like terms: 4x + -1x = 3x
-10 + 3x + -3y = -3 + x + -1x + -1y

Combine like terms: x + -1x = 0
-10 + 3x + -3y = -3 + 0 + -1y
-10 + 3x + -3y = -3 + -1y

Add '10' to each side of the equation.
-10 + 3x + 10 + -3y = -3 + 10 + -1y

Reorder the terms:
-10 + 10 + 3x + -3y = -3 + 10 + -1y

Combine like terms: -10 + 10 = 0
0 + 3x + -3y = -3 + 10 + -1y
3x + -3y = -3 + 10 + -1y

Combine like terms: -3 + 10 = 7
3x + -3y = 7 + -1y

Add '3y' to each side of the equation.
3x + -3y + 3y = 7 + -1y + 3y

Combine like terms: -3y + 3y = 0
3x + 0 = 7 + -1y + 3y
3x = 7 + -1y + 3y

Combine like terms: -1y + 3y = 2y
3x = 7 + 2y

Divide each side by '3'.
x = 2.333333333 + 0.6666666667y

Simplifying
x = 2.333333333 + 0.6666666667y

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