Question
Solve the equation
x=1513
Alternative Form
x=0.86˙
Evaluate
5x−84−x−53=x+46
Simplify
More Steps

Evaluate
5x−84−x−53
Cancel out the common factor 4
5x−21−x−53
Subtract the terms
More Steps

Evaluate
5x−x
Collect like terms by calculating the sum or difference of their coefficients
(5−1)x
Subtract the numbers
4x
4x−21−53
Subtract the numbers
More Steps

Evaluate
−21−53
Reduce fractions to a common denominator
−2×55−5×23×2
Multiply the numbers
−105−5×23×2
Multiply the numbers
−105−103×2
Write all numerators above the common denominator
10−5−3×2
Multiply the numbers
10−5−6
Subtract the numbers
10−11
Use b−a=−ba=−ba to rewrite the fraction
−1011
4x−1011
4x−1011=x+46
Cancel out the common factor 2
4x−1011=x+23
Multiply both sides of the equation by LCM
(4x−1011)×10=(x+23)×10
Calculate
More Steps

Evaluate
(4x−1011)×10
Apply the distributive property
4x×10−1011×10
Multiply the numbers
40x−1011×10
Multiply the numbers
More Steps

Evaluate
−1011×10
Reduce the numbers
−11×1
Simplify
−11
40x−11
40x−11=(x+23)×10
Calculate
More Steps

Evaluate
(x+23)×10
Apply the distributive property
x×10+23×10
Use the commutative property to reorder the terms
10x+23×10
Multiply the numbers
More Steps

Evaluate
23×10
Reduce the numbers
3×5
Multiply the numbers
15
10x+15
40x−11=10x+15
Move the expression to the left side
40x−11−10x=15
Move the expression to the right side
40x−10x=15+11
Add and subtract
More Steps

Evaluate
40x−10x
Collect like terms by calculating the sum or difference of their coefficients
(40−10)x
Subtract the numbers
30x
30x=15+11
Add and subtract
30x=26
Divide both sides
3030x=3026
Divide the numbers
x=3026
Solution
x=1513
Alternative Form
x=0.86˙
Show Solution

Rewrite the equation
15x=13
Evaluate
5x−84−x−53=x+46
Evaluate
More Steps

Evaluate
5x−84−x−53
Cancel out the common factor 4
5x−21−x−53
Subtract the terms
More Steps

Evaluate
5x−x
Collect like terms by calculating the sum or difference of their coefficients
(5−1)x
Subtract the numbers
4x
4x−21−53
Subtract the numbers
More Steps

Evaluate
−21−53
Reduce fractions to a common denominator
−2×55−5×23×2
Multiply the numbers
−105−5×23×2
Multiply the numbers
−105−103×2
Write all numerators above the common denominator
10−5−3×2
Multiply the numbers
10−5−6
Subtract the numbers
10−11
Use b−a=−ba=−ba to rewrite the fraction
−1011
4x−1011
4x−1011=x+46
Cancel out the common factor 2
4x−1011=x+23
Multiply both sides of the equation by LCD
40x−11=10x+15
Move the variable to the left side
30x−11=15
Move the constant to the right side
30x=26
Solution
15x=13
Show Solution
