Question
Solve the equation
x=−121
Alternative Form
x=−0.083˙
Evaluate
x−42+31=x−2x−31
Cancel equal terms on both sides of the expression
−42+31=−2x−31
Simplify
More Steps

Evaluate
−42+31
Cancel out the common factor 2
−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
−61=−2x−31
Swap the sides of the equation
−2x−31=−61
Move the constant to the right-hand side and change its sign
−2x=−61+31
Add the numbers
More Steps

Evaluate
−61+31
Reduce fractions to a common denominator
−61+3×22
Multiply the numbers
−61+62
Write all numerators above the common denominator
6−1+2
Add the numbers
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−42+31=x−2x−31
Evaluate
More Steps

Evaluate
x−42+31
Cancel out the common factor 2
x−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
x−61
x−61=x−2x−31
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−61=−x−31
Multiply both sides of the equation by LCD
6x−1=−6x−2
Move the variable to the left side
12x−1=−2
Solution
12x=−1
Show Solution
