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5\times 2x-3\left(4x-3\right)=15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-3\left(4x-3\right)=15
Multiply 5 and 2 to get 10.
10x-12x+9=15
Use the distributive property to multiply -3 by 4x-3.
-2x+9=15
Combine 10x and -12x to get -2x.
-2x=15-9
Subtract 9 from both sides.
-2x=6
Subtract 9 from 15 to get 6.
x=\frac{6}{-2}
Divide both sides by -2.
x=-3
Divide 6 by -2 to get -3.