21=∣−2x+5∣

Sure, let's solve the equation step by step.

The equation is an absolute value equation, which means the expression inside the absolute value bars can be either positive or negative. So, we can split the equation into two separate equations:

-2x + 5 = 21 and -2x + 5 = -21

Now, let's solve each equation separately:

1. -2x + 5 = 21 Subtract 5 from both sides: -2x = 21 - 5 -2x = 16 Divide both sides by -2: x = 16 / -2 x = -8

2. -2x + 5 = -21 Subtract 5 from both sides: -2x = -21 - 5 -2x = -26 Divide both sides by -2: x = -26 / -2 x = 13

So, the solutions to the equation | -2x + 5 | = 21 are x = -8 and x = 13.