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3\left(2a+8\right)=5\left(a+3\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6a+24=5\left(a+3\right)
Use the distributive property to multiply 3 by 2a+8.
6a+24=5a+15
Use the distributive property to multiply 5 by a+3.
6a+24-5a=15
Subtract 5a from both sides.
a+24=15
Combine 6a and -5a to get a.
a=15-24
Subtract 24 from both sides.
a=-9
Subtract 24 from 15 to get -9.