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4\times 5x-6\times 4=9
Multiply both sides of the equation by 12, the least common multiple of 3,2,4.
20x-6\times 4=9
Multiply 4 and 5 to get 20.
20x-24=9
Multiply -6 and 4 to get -24.
20x=9+24
Add 24 to both sides.
20x=33
Add 9 and 24 to get 33.
x=\frac{33}{20}
Divide both sides by 20.