Question
Solve the equation
x=10
Evaluate
4x−15x−1520=21
Cancel out the common factor 5
4x−15x−34=21
Multiply both sides of the equation by LCD
(4x−15x−34)×60=21×60
Simplify the equation
More Steps

Evaluate
(4x−15x−34)×60
Apply the distributive property
4x×60−15x×60−34×60
Simplify
x×15−x×4−4×20
Use the commutative property to reorder the terms
15x−x×4−4×20
Use the commutative property to reorder the terms
15x−4x−4×20
Multiply the numbers
15x−4x−80
Subtract the terms
More Steps

Evaluate
15x−4x
Collect like terms by calculating the sum or difference of their coefficients
(15−4)x
Subtract the numbers
11x
11x−80
11x−80=21×60
Simplify the equation
More Steps

Evaluate
21×60
Simplify
1×30
Any expression multiplied by 1 remains the same
30
11x−80=30
Move the constant to the right side
11x=30+80
Add the numbers
11x=110
Divide both sides
1111x=11110
Divide the numbers
x=11110
Solution
More Steps

Evaluate
11110
Reduce the numbers
110
Calculate
10
x=10
Show Solution

Rewrite the equation
x=10
Evaluate
4x−15x−1520=21
Cancel out the common factor 5
4x−15x−34=21
Rewrite the expression
More Steps

Evaluate
4x−15x−34
Reduce the fraction
41x−15x−34
Reduce the fraction
More Steps

Evaluate
−15x
Use b−a=−ba=−ba to rewrite the fraction
15−x
Reduce the fraction
−151x
41x−151x−34
41x−151x−34=21
Multiply both sides of the equation by LCD
11x−80=30
Move the constant to the right side
11x=110
Solution
x=10
Show Solution
