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8\left(2x-3\right)=5\times 3x
Multiply both sides of the equation by 40, the least common multiple of 5,8.
16x-24=5\times 3x
Use the distributive property to multiply 8 by 2x-3.
16x-24=15x
Multiply 5 and 3 to get 15.
16x-24-15x=0
Subtract 15x from both sides.
x-24=0
Combine 16x and -15x to get x.
x=24
Add 24 to both sides. Anything plus zero gives itself.