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4\times 3x-2=7
Multiply both sides of the equation by 8, the least common multiple of 2,4,8.
12x-2=7
Multiply 4 and 3 to get 12.
12x=7+2
Add 2 to both sides.
12x=9
Add 7 and 2 to get 9.
x=\frac{9}{12}
Divide both sides by 12.
x=\frac{3}{4}
Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.