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4\left(x+24\right)=80+5x
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4x+96=80+5x
Use the distributive property to multiply 4 by x+24.
4x+96-5x=80
Subtract 5x from both sides.
-x+96=80
Combine 4x and -5x to get -x.
-x=80-96
Subtract 96 from both sides.
-x=-16
Subtract 96 from 80 to get -16.
x=16
Multiply both sides by -1.