If the product of 14 and a number is decreased by 7, and then the result is divided by 5, the answer is 7. What is the unknown number?

Question

photon336 · Answer

the product of a 14 and a number. Product means multiply 

so 14n 

is decreased by 7 we subtract 7 

14n-7 

divided by 5 

$$\frac{ 14n-7 }{ 5 } = 7 $$

multiply both sides by 5 

$$\frac{ 14n-7 }{ 5 }*5 = 7 *5 $$

then add 7 to both sides 

$$\frac{ 14n-7+7 }{ } = 35+7$$

$$14n = 42 $$

divide both sides by 14

$$\frac{ 42 }{ 14 } = 3 = n $$

n = 3

photon336 · Answer

@didierr