Determine the missing coefficient of x that would make this equation have infinite solutions. 2(24x+7)=39x+ x+14

1 answer

To have infinite solutions, the coefficient of x in both sides of the equation must be equal. Therefore, we need to find the missing coefficient of x on the right side of the equation.

On the left side, we have 2(24x+7), which can be simplified to 48x+14.

On the right side, we have 39x+x+14, which can be simplified to 40x+14.

To make the equation have infinite solutions, we need the coefficient of x on both sides to be equal. Therefore, we need the missing coefficient of x to be 48.