Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
∣x−3∣−∣x∣
Evaluate
∣x−3∣−∣x×1∣
Solution
∣x−3∣−∣x∣
Show Solution
Find the roots
x=23
Alternative Form
x=1.5
Evaluate
∣x−3∣−∣x×1∣
To find the roots of the expression,set the expression equal to 0
∣x−3∣−∣x×1∣=0
Any expression multiplied by 1 remains the same
∣x−3∣−∣x∣=0
Rewrite the expression
∣x−3∣=∣x∣
Evaluate
x−3=xx−3=−x
Calculate
More Steps
Evaluate
x−3=x
Cancel equal terms on both sides of the expression
−3=0
The statement is false for any value of x
x∈∅
x∈∅x−3=−x
Calculate
More Steps
Evaluate
x−3=−x
Move the variable to the left side
x−3+x=0
Add the terms
More Steps
Evaluate
x+x
Collect like terms by calculating the sum or difference of their coefficients
(1+1)x
Add the numbers
2x
2x−3=0
Move the constant to the right side
2x=0+3
Removing 0 doesn't change the value,so remove it from the expression
2x=3
Divide both sides
22x=23
Divide the numbers
x=23
x∈∅x=23
Solution
x=23
Alternative Form
x=1.5
Show Solution