4xy+6=8xy-12

Solution for 4xy+6=8xy-12 equation:

Simplifying
4xy + 6 = 8xy + -12

Reorder the terms:
6 + 4xy = 8xy + -12

Reorder the terms:
6 + 4xy = -12 + 8xy

Solving
6 + 4xy = -12 + 8xy

Solving for variable 'x'.

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

Add '-8xy' to each side of the equation.
6 + 4xy + -8xy = -12 + 8xy + -8xy

Combine like terms: 4xy + -8xy = -4xy
6 + -4xy = -12 + 8xy + -8xy

Combine like terms: 8xy + -8xy = 0
6 + -4xy = -12 + 0
6 + -4xy = -12

Add '-6' to each side of the equation.
6 + -6 + -4xy = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4xy = -12 + -6
-4xy = -12 + -6

Combine like terms: -12 + -6 = -18
-4xy = -18

Divide each side by '-4y'.
x = 4.5y-1

Simplifying
x = 4.5y-1