solve for x
Notice that x cannot be 5/4 or the denominator is zero.
I would first multiply both sides by 4x-5 (which is not zero) to get
(4x - 5)y = 3x + 2
4xy - 5y = 3x + 2.
Collect the terms with an x on the left side of the equation.
4xy - 3x = 2 + 5y
(4y - 3)x = 5y + 2
Finally if y is not 3/4 (that is if 4y - 3 is not zero), then you can divide by 4y - 3 to get
x = (5y + 2)/(4y - 3)
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