Question
Solve the equation
x=−839
Alternative Form
x=−4.875
Evaluate
3x−x−45=2
Multiply both sides of the equation by LCD
(3x−x−45)×12=2×12
Simplify the equation
More Steps

Evaluate
(3x−x−45)×12
Apply the distributive property
3x×12−x×12−45×12
Simplify
x×4−x×12−5×3
Use the commutative property to reorder the terms
4x−x×12−5×3
Use the commutative property to reorder the terms
4x−12x−5×3
Multiply the numbers
4x−12x−15
Subtract the terms
More Steps

Evaluate
4x−12x
Collect like terms by calculating the sum or difference of their coefficients
(4−12)x
Subtract the numbers
−8x
−8x−15
−8x−15=2×12
Simplify the equation
−8x−15=24
Move the constant to the right side
−8x=24+15
Add the numbers
−8x=39
Change the signs on both sides of the equation
8x=−39
Divide both sides
88x=8−39
Divide the numbers
x=8−39
Solution
x=−839
Alternative Form
x=−4.875
Show Solution

Rewrite the equation
8x=−39
Evaluate
(3x)−x−(45)=2
Evaluate
3x−x−45=2
Rewrite the expression
31x−x−45=2
Multiply both sides of the equation by LCD
−8x−15=24
Move the constant to the right side
−8x=39
Solution
8x=−39
Show Solution
