Question
Solve the equation
x=44
Evaluate
100−10040−0=110−110x−10
Simplify
More Steps

Evaluate
100−10040−0
Cancel out the common factor 20
100−52−0
Removing 0 doesn't change the value,so remove it from the expression
100−52
Reduce fractions to a common denominator
5100×5−52
Write all numerators above the common denominator
5100×5−2
Multiply the numbers
5500−2
Subtract the numbers
5498
5498=110−110x−10
Subtract the numbers
5498=100−110x
Swap the sides of the equation
100−110x=5498
Move the constant to the right-hand side and change its sign
−110x=5498−100
Subtract the numbers
More Steps

Evaluate
5498−100
Reduce fractions to a common denominator
5498−5100×5
Write all numerators above the common denominator
5498−100×5
Multiply the numbers
5498−500
Subtract the numbers
5−2
Use b−a=−ba=−ba to rewrite the fraction
−52
−110x=−52
Rewrite the expression
110−x=5−2
Multiply both sides of the equation by 110
110−x×110=5−2×110
Multiply the terms
−x=5−2×110
Divide the terms
−x=−44
Solution
x=44
Show Solution

Rewrite the equation
x=44
Evaluate
100−10040−0=110−110x−10
Evaluate
More Steps

Evaluate
100−10040−0
Cancel out the common factor 20
100−52−0
Removing 0 doesn't change the value,so remove it from the expression
100−52
Reduce fractions to a common denominator
5100×5−52
Write all numerators above the common denominator
5100×5−2
Multiply the numbers
5500−2
Subtract the numbers
5498
5498=110−110x−10
Evaluate
5498=100−110x
Rewrite the expression
More Steps

Evaluate
−110x
Use b−a=−ba=−ba to rewrite the fraction
110−x
Reduce the fraction
−1101x
5498=100−1101x
Multiply both sides of the equation by LCD
10956=11000−x
Rewrite the expression
11000−x=10956
Move the constant to the right side
−x=−44
Solution
x=44
Show Solution
