How would you solve this equation?

Question

|3x+2|=4x+5

Answer 1

|3x + 2| = 4x+5

break up the equation to equal the original and the inverse.

3x + 2 = 4x+5 and 3x + 2 = -(4x+5)

Then you have to plug your answers back into the original problem because one will not be a solution.

-x = 3 3x + 2 = -4x - 5

x = -3 7x = -7

x = -1

Plug them back in

|3(-3) + 2| = 4(-3) + 5

|-7| = -7

7 does not equal -7 so x cannot equal -3

|3(-1) + 2| = 4(-1) + 5

|-1| = 1

1 = 1 so the solution is only x = -1

Answer 2

|3x + 2| = 4x + 5

3x + 2 = 4x + 5

or

3x + 2 = -(4x + 5)

solve for x in both equations