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3\left(4x-3\right)-5\left(4-2x\right)=15
Multiply both sides of the equation by 15, the least common multiple of 5,3.
12x-9-5\left(4-2x\right)=15
Use the distributive property to multiply 3 by 4x-3.
12x-9-20+10x=15
Use the distributive property to multiply -5 by 4-2x.
12x-29+10x=15
Subtract 20 from -9 to get -29.
22x-29=15
Combine 12x and 10x to get 22x.
22x=15+29
Add 29 to both sides.
22x=44
Add 15 and 29 to get 44.
x=\frac{44}{22}
Divide both sides by 22.
x=2
Divide 44 by 22 to get 2.