Work & answer for |3x-1|+10=25
subtract 10 from each side
abs(3x-1)=15
now work it as a +,and a -.
negative first..
-(3x+1)=15
3x+1=-15
3x=-16 solve for x
postive solution
3x+1=15
3x=14
solve for x
To find the value of x in the equation |3x-1| + 10 = 25, follow these steps:
Step 1: Subtract 10 from both sides of the equation:
|3x-1| = 25 - 10
|3x-1| = 15
Step 2: Set up two separate equations and solve for both the positive and negative cases:
3x - 1 = 15 and -(3x - 1) = 15
For the positive case:
3x - 1 = 15
Add 1 to both sides:
3x = 15 + 1
3x = 16
Divide both sides by 3:
x = 16/3
For the negative case:
-(3x - 1) = 15
distribute the negative sign:
-3x + 1 = 15
Subtract 1 from both sides:
-3x = 15 - 1
-3x = 14
Divide both sides by -3, remember to flip the inequality when dividing by a negative number:
x = 14/(-3)
x = -14/3
Therefore, the solution to the equation |3x-1| + 10 = 25 is x = 16/3 or x = -14/3.