Question
Solve the equation
x=45416
Alternative Form
x=9.24˙
Evaluate
x−52=10−8x
Multiply both sides of the equation by LCD
(x−52)×40=(10−8x)×40
Simplify the equation
More Steps

Evaluate
(x−52)×40
Apply the distributive property
x×40−52×40
Simplify
x×40−2×8
Use the commutative property to reorder the terms
40x−2×8
Multiply the numbers
40x−16
40x−16=(10−8x)×40
Simplify the equation
More Steps

Evaluate
(10−8x)×40
Apply the distributive property
10×40−8x×40
Simplify
10×40−x×5
Multiply the numbers
400−x×5
Use the commutative property to reorder the terms
400−5x
40x−16=400−5x
Move the expression to the left side
40x−16+5x=400
Move the expression to the right side
40x+5x=400+16
Add and subtract
More Steps

Evaluate
40x+5x
Collect like terms by calculating the sum or difference of their coefficients
(40+5)x
Add the numbers
45x
45x=400+16
Add and subtract
45x=416
Divide both sides
4545x=45416
Solution
x=45416
Alternative Form
x=9.24˙
Show Solution

Rewrite the equation
45x=416
Evaluate
x−52=10−8x
Rewrite the expression
More Steps

Evaluate
−8x
Use b−a=−ba=−ba to rewrite the fraction
8−x
Reduce the fraction
−81x
x−52=10−81x
Multiply both sides of the equation by LCD
40x−16=400−5x
Move the variable to the left side
45x−16=400
Solution
45x=416
Show Solution
