Question
Solve the equation
x=−1255
Alternative Form
x=−4.583˙
Evaluate
x−45=2x+31+3
Add the numbers
More Steps

Evaluate
31+3
Reduce fractions to a common denominator
31+33×3
Write all numerators above the common denominator
31+3×3
Multiply the numbers
31+9
Add the numbers
310
x−45=2x+310
Multiply both sides of the equation by LCM
(x−45)×12=(2x+310)×12
Calculate
More Steps

Evaluate
(x−45)×12
Apply the distributive property
x×12−45×12
Use the commutative property to reorder the terms
12x−45×12
Multiply the numbers
More Steps

Evaluate
−45×12
Reduce the numbers
−5×3
Multiply the numbers
−15
12x−15
12x−15=(2x+310)×12
Calculate
More Steps

Evaluate
(2x+310)×12
Apply the distributive property
2x×12+310×12
Multiply the numbers
24x+310×12
Multiply the numbers
More Steps

Evaluate
310×12
Reduce the numbers
10×4
Multiply the numbers
40
24x+40
12x−15=24x+40
Move the expression to the left side
12x−15−24x=40
Move the expression to the right side
12x−24x=40+15
Add and subtract
More Steps

Evaluate
12x−24x
Collect like terms by calculating the sum or difference of their coefficients
(12−24)x
Subtract the numbers
−12x
−12x=40+15
Add and subtract
−12x=55
Change the signs on both sides of the equation
12x=−55
Divide both sides
1212x=12−55
Divide the numbers
x=12−55
Solution
x=−1255
Alternative Form
x=−4.583˙
Show Solution

Rewrite the equation
12x=−55
Evaluate
x−45=2x+31+3
Evaluate
More Steps

Evaluate
2x+31+3
Add the numbers
More Steps

Evaluate
31+3
Reduce fractions to a common denominator
31+33×3
Write all numerators above the common denominator
31+3×3
Multiply the numbers
31+9
Add the numbers
310
2x+310
x−45=2x+310
Multiply both sides of the equation by LCD
12x−15=24x+40
Move the variable to the left side
−12x−15=40
Move the constant to the right side
−12x=55
Solution
12x=−55
Show Solution
