Question
Solve the equation
x=0
Evaluate
78122×x=501x
Simplify
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Evaluate
78122×x
Cancel out the common factor 2
7861×x
Covert the mixed number to an improper fraction
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Convert the expressions
7861
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
678×6+1
Multiply the terms
6468+1
Add the terms
6469
6469x
6469x=501x
Add or subtract both sides
6469x−501x=0
Subtract the terms
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Evaluate
6469x−501x
Collect like terms by calculating the sum or difference of their coefficients
(6469−501)x
Subtract the numbers
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Evaluate
6469−501
Reduce fractions to a common denominator
6469−6501×6
Write all numerators above the common denominator
6469−501×6
Multiply the numbers
6469−3006
Subtract the numbers
6−2537
Use b−a=−ba=−ba to rewrite the fraction
−62537
−62537x
−62537x=0
Change the signs on both sides of the equation
62537x=0
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
78122×x=501x
Evaluate
More Steps

Evaluate
78122×x
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
78122
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
1278×12+2
Multiply the terms
12936+2
Add the terms
12938
12938x
Multiply the numbers
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Evaluate
12938×1
Any expression multiplied by 1 remains the same
12938
Reduce the fraction
6469
6469
Calculate
6469x
6469x=501x
Multiply both sides of the equation by LCD
469x=3006x
Move the variable to the left side
−2537x=0
Multiply both sides
2537x=0
Solution
x=0
Show Solution
