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8\times \frac{5}{8}\left(x+4\right)=5\times 4
Multiply both sides of the equation by 80, the least common multiple of 10,16.
5\left(x+4\right)=5\times 4
Cancel out 8 and 8.
5x+20=5\times 4
Use the distributive property to multiply 5 by x+4.
5x+20=20
Multiply 5 and 4 to get 20.
5x=20-20
Subtract 20 from both sides.
5x=0
Subtract 20 from 20 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, x must be equal to 0.