Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=233
Alternative Form
x≈0.130435
Evaluate
∣x−3∣=2x×11
Multiply the terms
∣x−3∣=22x
Rewrite the expression
∣x−3∣−22x=0
Separate the equation into 2 possible cases
x−3−22x=0,x−3≥0−(x−3)−22x=0,x−3<0
Solve the equation
More Steps
Evaluate
x−3−22x=0
Calculate
More Steps
Evaluate
x−22x
Collect like terms by calculating the sum or difference of their coefficients
(1−22)x
Subtract the numbers
−21x
−21x−3=0
Move the constant to the right-hand side and change its sign
−21x=0+3
Removing 0 doesn't change the value,so remove it from the expression
−21x=3
Change the signs on both sides of the equation
21x=−3
Divide both sides
2121x=21−3
Divide the numbers
x=21−3
Divide the numbers
More Steps
Evaluate
21−3
Cancel out the common factor 3
7−1
Use b−a=−ba=−ba to rewrite the fraction
−71
x=−71
x=−71,x−3≥0−(x−3)−22x=0,x−3<0
Solve the inequality
More Steps
Evaluate
x−3≥0
Move the constant to the right side
x≥0+3
Removing 0 doesn't change the value,so remove it from the expression
x≥3
x=−71,x≥3−(x−3)−22x=0,x−3<0
Solve the equation
More Steps
Evaluate
−(x−3)−22x=0
Calculate
−x+3−22x=0
Calculate
More Steps
Evaluate
−x−22x
Collect like terms by calculating the sum or difference of their coefficients
(−1−22)x
Subtract the numbers
−23x
−23x+3=0
Move the constant to the right-hand side and change its sign
−23x=0−3
Removing 0 doesn't change the value,so remove it from the expression
−23x=−3
Change the signs on both sides of the equation
23x=3
Divide both sides
2323x=233
Divide the numbers
x=233
x=−71,x≥3x=233,x−3<0
Solve the inequality
More Steps
Evaluate
x−3<0
Move the constant to the right side
x<0+3
Removing 0 doesn't change the value,so remove it from the expression
x<3
x=−71,x≥3x=233,x<3
Find the intersection
x∈∅x=233,x<3
Find the intersection
x∈∅x=233
Solution
x=233
Alternative Form
x≈0.130435
Show Solution
Graph
