Find the solution for x if |7x + 5| = 19​.

Sure, here are the steps to solve the equation |7x + 5| = 19:

1. First, we need to understand that the absolute value of a number is its distance from zero, so it can be either positive or negative. This means we have two equations to solve: 7x + 5 = 19 and 7x + 5 = -19.

2. Let's solve the first equation: 7x + 5 = 19. Subtract 5 from both sides to get 7x = 14. Then divide both sides by 7 to get x = 2.

3. Now let's solve the second equation: 7x + 5 = -19. Subtract 5 from both sides to get 7x = -24. Then divide both sides by 7 to get x = -24/7.

So, the solutions for the equation |7x + 5| = 19 are x = 2 and x = -24/7.