Question
Solve the equation
x=−51
Alternative Form
x=−0.2
Evaluate
3x−43x=121
Multiply both sides of the equation by LCD
(3x−43x)×12=121×12
Simplify the equation
More Steps

Evaluate
(3x−43x)×12
Apply the distributive property
3x×12−43x×12
Simplify
x×4−3x×3
Use the commutative property to reorder the terms
4x−3x×3
Multiply the numbers
4x−9x
Collect like terms by calculating the sum or difference of their coefficients
(4−9)x
Subtract the numbers
−5x
−5x=121×12
Simplify the equation
−5x=1
Change the signs on both sides of the equation
5x=−1
Divide both sides
55x=5−1
Divide the numbers
x=5−1
Solution
x=−51
Alternative Form
x=−0.2
Show Solution

Rewrite the equation
5x=−1
Evaluate
3x−43x=121
Rewrite the expression
More Steps

Evaluate
3x−43x
Reduce the fraction
31x−43x
Reduce the fraction
More Steps

Evaluate
−43x
Use b−a=−ba=−ba to rewrite the fraction
4−3x
Reduce the fraction
−43x
31x−43x
31x−43x=121
Multiply both sides of the equation by LCD
−5x=1
Solution
5x=−1
Show Solution
