Question
Solve the equation
x=0
Evaluate
21x×61=81x×1
Multiply the terms
More Steps

Evaluate
21×61
To multiply the fractions,multiply the numerators and denominators separately
2×61
Multiply the numbers
121
121x=81x×1
Multiply the terms
121x=81x
Add or subtract both sides
121x−81x=0
Subtract the terms
More Steps

Evaluate
121x−81x
Collect like terms by calculating the sum or difference of their coefficients
(121−81)x
Subtract the numbers
More Steps

Evaluate
121−81
Reduce fractions to a common denominator
12×22−8×33
Multiply the numbers
242−8×33
Multiply the numbers
242−243
Write all numerators above the common denominator
242−3
Subtract the numbers
24−1
Use b−a=−ba=−ba to rewrite the fraction
−241
−241x
−241x=0
Change the signs on both sides of the equation
241x=0
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
21x×61=81x×1
Evaluate
More Steps

Evaluate
21x×61
Multiply the terms
More Steps

Evaluate
21×61
To multiply the fractions,multiply the numerators and denominators separately
2×61
Multiply the numbers
121
121x
121x=81x×1
Evaluate
121x=81x
Multiply both sides of the equation by LCD
2x=3x
Move the variable to the left side
−x=0
Solution
x=0
Show Solution
