What is x when the equation is 5|2x+3|=45?

5|2x+3|=45

|2x+3|=45/5

|2x+3|=9

Now set up two cases.

2x + 3 = - 9 and 2x + 3 = 9

Solve each equation for x and then plug your answers back into the original equation given.

The x-value that produces a true statement for the given absolute value equation will be your answer.

Take it from here.

1.) divide by 5 on each side to obtain

Abs (2x+3) = 45

2x+3=45 or 2x+3=-45

2x=42 or 2x=-48

x=21 or x=-24