Solve the following equation
|2x+4|=30
Solve for x
|2x+4| = 30
Absolute Value Equations
Since this is an absolute value equation
Setup two equations
- 2x+4 = 30
- 2x+4 = -30
Solve Equation 1 → 2x+4 = 30
Subtract - 4 from both sides of the equation
2x+4 - 4= 30 - 4
2x = 26
Divide each side of absolute value equation 1 by 2
Keep our =
| 2x | |
| 2 |
| = |
| 26 |
| 2 |
Solution to absolute value equation 1 is
x = 13
Solve Equation 2 → 2x+4 = -30
Subtract - 4 from both sides of the equation
2x+4 - 4= -30 - 4
2x = - 34
Divide each side of absolute value equation 2 by 2
Keep our =
| 2x | |
| 2 |
| = |
| -34 |
| 2 |
Solution to absolute value equation 2 is
x = -17
