To solve the equation 58(x−12)=10 , the first step is to reverse the multiplication. What number should both sides be divided by?

1 answer

To reverse the multiplication in the equation $58(x-12)=10$, we need to divide both sides of the equation by the coefficient of the variable $x$, which is 58.

Dividing both sides of the equation by 58 gives:

$$\frac{58(x-12)}{58}=\frac{10}{58}$$

Simplifying:

$$x-12=\frac{10}{58}$$

Therefore, the number that both sides should be divided by is 58.