4xy+6=5xy-8

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Solution for 4xy+6=5xy-8 equation:


Simplifying
4xy + 6 = 5xy + -8

Reorder the terms:
6 + 4xy = 5xy + -8

Reorder the terms:
6 + 4xy = -8 + 5xy

Solving
6 + 4xy = -8 + 5xy

Solving for variable 'x'.

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

Add '-5xy' to each side of the equation.
6 + 4xy + -5xy = -8 + 5xy + -5xy

Combine like terms: 4xy + -5xy = -1xy
6 + -1xy = -8 + 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
6 + -1xy = -8 + 0
6 + -1xy = -8

Add '-6' to each side of the equation.
6 + -6 + -1xy = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -1xy = -8 + -6
-1xy = -8 + -6

Combine like terms: -8 + -6 = -14
-1xy = -14

Divide each side by '-1y'.
x = 14y-1

Simplifying
x = 14y-1

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