Question
31x−4=41x−11
Solve the equation
x=−84
Evaluate
31x−4=41x−11
Multiply both sides of the equation by LCM
(31x−4)×12=(41x−11)×12
Calculate
More Steps

Evaluate
(31x−4)×12
Apply the distributive property
31x×12−4×12
Multiply the numbers
More Steps

Evaluate
31×12
Reduce the numbers
1×4
Simplify
4
4x−4×12
Multiply the numbers
4x−48
4x−48=(41x−11)×12
Calculate
More Steps

Evaluate
(41x−11)×12
Apply the distributive property
41x×12−11×12
Multiply the numbers
More Steps

Evaluate
41×12
Reduce the numbers
1×3
Simplify
3
3x−11×12
Multiply the numbers
3x−132
4x−48=3x−132
Move the expression to the left side
4x−48−3x=−132
Move the expression to the right side
4x−3x=−132+48
Add and subtract
More Steps

Evaluate
4x−3x
Collect like terms by calculating the sum or difference of their coefficients
(4−3)x
Subtract the numbers
x
x=−132+48
Solution
x=−84
Show Solution

Rewrite the equation
x=−84
Evaluate
31x−4=41x−11
Multiply both sides of the equation by LCD
4x−48=3x−132
Move the variable to the left side
x−48=−132
Solution
x=−84
Show Solution
