Question
Solve the equation
x=−25
Evaluate
52x−21=53x×107
Multiply the terms
More Steps

Evaluate
53×107
To multiply the fractions,multiply the numerators and denominators separately
5×103×7
Multiply the numbers
5×1021
Multiply the numbers
5021
52x−21=5021x
Move the variable to the left side
52x−21−5021x=0
Subtract the terms
More Steps

Evaluate
52x−5021x
Collect like terms by calculating the sum or difference of their coefficients
(52−5021)x
Subtract the numbers
More Steps

Evaluate
52−5021
Reduce fractions to a common denominator
5×102×10−5021
Multiply the numbers
502×10−5021
Write all numerators above the common denominator
502×10−21
Multiply the numbers
5020−21
Subtract the numbers
50−1
Use b−a=−ba=−ba to rewrite the fraction
−501
−501x
−501x−21=0
Move the constant to the right side
−501x=0+21
Removing 0 doesn't change the value,so remove it from the expression
−501x=21
Change the signs on both sides of the equation
501x=−21
Multiply by the reciprocal
501x×50=−21×50
Multiply
x=−21×50
Solution
More Steps

Evaluate
−21×50
Reduce the numbers
−1×25
Simplify
−25
x=−25
Show Solution

Rewrite the equation
x=−25
Evaluate
52x−21=53x×107
Evaluate
More Steps

Evaluate
53x×107
Multiply the terms
More Steps

Evaluate
53×107
To multiply the fractions,multiply the numerators and denominators separately
5×103×7
Multiply the numbers
5×1021
Multiply the numbers
5021
5021x
52x−21=5021x
Multiply both sides of the equation by LCD
20x−25=21x
Move the variable to the left side
−x−25=0
Move the constant to the right side
−x=25
Solution
x=−25
Show Solution
