Question
Solve the equation
x=121
Alternative Form
x=0.083˙
Evaluate
x−2x−31=1+x−23
Cancel equal terms on both sides of the expression
−2x−31=1−23
Subtract the numbers
More Steps

Evaluate
1−23
Reduce fractions to a common denominator
22−23
Write all numerators above the common denominator
22−3
Subtract the numbers
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
−2x−31=−21
Move the constant to the right-hand side and change its sign
−2x=−21+31
Add the numbers
More Steps

Evaluate
−21+31
Reduce fractions to a common denominator
−2×33+3×22
Multiply the numbers
−63+3×22
Multiply the numbers
−63+62
Write all numerators above the common denominator
6−3+2
Add the numbers
6−1
Use b−a=−ba=−ba to rewrite the fraction
−61
−2x=−61
Change the signs on both sides of the equation
2x=61
Multiply by the reciprocal
2x×21=61×21
Multiply
x=61×21
Solution
More Steps

Evaluate
61×21
To multiply the fractions,multiply the numerators and denominators separately
6×21
Multiply the numbers
121
x=121
Alternative Form
x=0.083˙
Show Solution

Rewrite the equation
12x=1
Evaluate
x−2x−31=1+x−23
Evaluate
More Steps

Evaluate
x−2x−31
Subtract the terms
More Steps

Evaluate
x−2x
Collect like terms by calculating the sum or difference of their coefficients
(1−2)x
Subtract the numbers
−x
−x−31
−x−31=1+x−23
Evaluate
More Steps

Evaluate
1+x−23
Subtract the numbers
More Steps

Evaluate
1−23
Reduce fractions to a common denominator
22−23
Write all numerators above the common denominator
22−3
Subtract the numbers
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
−21+x
−x−31=−21+x
Multiply both sides of the equation by LCD
−6x−2=−3+6x
Move the variable to the left side
−12x−2=−3
Move the constant to the right side
−12x=−1
Solution
12x=1
Show Solution
