Question

|2x+3|+9=20. please help. add explanation

Answer 1

Answer:

• The solution of this equation is 'x = 4'.

Step-by-step explanation:

• |2x + 3| + 9 = 20
• => 2x + 3 + 9 = 20
• => 2x + 12 = 20
• => 2x = 20 - 12
• => 2x = 8
• => x = 4

Hence, the solution of this equation is 'x = 4'.

Hoped this helped.

$BrainiacUser1357$

Answer 2

Answer:

x = -7, x = 4

Step-by-step explanation:

Absolute value is the distance from 0. The distance can be negative or positive

Deciding Cases:

If an absolute value equation is equal to a negative number, it is automatically no solutions.

To verify that the absolute value eq. is true, you first want just the absolute value equation alone.

|2x + 3| + 9 = 20

Isolate the absolute value equaion by subtracting 9 from both sides:

|2x + 3| = 20 - 9

|2x + 3| = 11

This is where you decide if it is true or not.

Since the outcome is positive, it is a correct equation.

If the outcome is 0, it has one solution. If it is a positive number it has two solutions. (Case 1, Case 2)

Case 1, Case 2 - Solving the equation

Case 1, when 11 is negative:

Remove absolute value brackets:

2x + 3 = -11

2x = -14

x = -7

Case 2, when 11 is positive:

Remove absolute value brackets:

2x + 3 = 11

2x = 8

x = 4

-Chetan K