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7\left(a+3\right)=4\left(2a-3\right)+28
Multiply both sides of the equation by 28, the least common multiple of 4,7.
7a+21=4\left(2a-3\right)+28
Use the distributive property to multiply 7 by a+3.
7a+21=8a-12+28
Use the distributive property to multiply 4 by 2a-3.
7a+21=8a+16
Add -12 and 28 to get 16.
7a+21-8a=16
Subtract 8a from both sides.
-a+21=16
Combine 7a and -8a to get -a.
-a=16-21
Subtract 21 from both sides.
-a=-5
Subtract 21 from 16 to get -5.
a=5
Multiply both sides by -1.