Answer:
x = - 2, x = 8
Step-by-step explanation:
The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus
x - 3 = 5 OR - (x - 3) = 5
Solving both equations
x - 3 = 5 ( add 3 to both sides )
x = 8
OR
- x + 3 = 5 ( subtract 3 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are solutions.
x = 8
| 8 - 3 | = | 5 | = 5 = right side
x = - 2
| - 2 - 3 | = | - 5 | = 5 = right side
Thus the solutions are x = - 2, x = 8
The equation given is the same as x - 3 = 5 or -(x - 3) = 5
Steps to solve:
x - 3 = 5
x - 3 + 3 = 5 + 3
x = 8
Steps to solve:
-(x - 3) = 5
-x + 3 = 5
-x + 3 - 3 = 5 - 3
-x = 2
-x/-1 = 2/-1
x = -2
Therefore, the solutions are x = 8 and x = -2
Best of Luck!
