Question
Solve the equation
x=21253
Evaluate
80−8020=212−212x−32
Simplify
More Steps

Evaluate
80−8020
Cancel out the common factor 20
80−41
Reduce fractions to a common denominator
480×4−41
Write all numerators above the common denominator
480×4−1
Multiply the numbers
4320−1
Subtract the numbers
4319
4319=212−212x−32
Subtract the numbers
4319=180−212x
Swap the sides of the equation
180−212x=4319
Move the constant to the right-hand side and change its sign
−212x=4319−180
Subtract the numbers
More Steps

Evaluate
4319−180
Reduce fractions to a common denominator
4319−4180×4
Write all numerators above the common denominator
4319−180×4
Multiply the numbers
4319−720
Subtract the numbers
4−401
Use b−a=−ba=−ba to rewrite the fraction
−4401
−212x=−4401
Rewrite the expression
212−x=4−401
Multiply both sides of the equation by 212
212−x×212=4−401×212
Multiply the terms
−x=4−401×212
Divide the terms
−x=−21253
Solution
x=21253
Show Solution

Rewrite the equation
x=21253
Evaluate
80−8020=212−212x−32
Evaluate
More Steps

Evaluate
80−8020
Cancel out the common factor 20
80−41
Reduce fractions to a common denominator
480×4−41
Write all numerators above the common denominator
480×4−1
Multiply the numbers
4320−1
Subtract the numbers
4319
4319=212−212x−32
Evaluate
4319=180−212x
Rewrite the expression
More Steps

Evaluate
−212x
Use b−a=−ba=−ba to rewrite the fraction
212−x
Reduce the fraction
−2121x
4319=180−2121x
Multiply both sides of the equation by LCD
16907=38160−x
Rewrite the expression
38160−x=16907
Move the constant to the right side
−x=−21253
Solution
x=21253
Show Solution
