Question

what...
|-2x + 3| = 15

Answer 1

we know either \(-2x+3=15\) or \(-2x+3=-15\)

Answer 2

solve both equations

Answer 3

and absolute value around the function means that the function has equidistant values from the left and the right

In solving this you would have

-2x + 3 = - 15 or -2x + 3 = 15

subtract 3 from both sides

-2x +3 - 3 = - 15 -3 or -2x + 3 - 3 = 15 - 3

-2x = -18 or -2x = 12

divide by -2

-2x/-2 = -18/-2 or -2x/-2 = 12/-2

x = ? or x = ?