Step-by-step explanation: We can solve the equation |2x + 3| = 7 by
first splitting things up into two separate equations.
The first equation will look just like the original problem,
minus the absolute value signs and we have 2x + 3 = 7.
The second equation will look just like the first, only the right
side will be changed to a negative and we have 2x + 3 = -7.
Now solve each equation from here.
In our first equation, subtract 3 from both sides to get 2x = 4.
Then divide both sides by 2 and x = 2.
In our second equation, subtract 2 from both sides to get 2x = -10.
Now, divide both sides by 2 and we have x = -5.
So either x = 2 or x = -5.