Question
Solve the equation
x=600
Evaluate
40%x+60=21x
Calculate
More Steps

Evaluate
40%x
By definition p%=p×0.01
40×0.01x
Calculate
0.4x
0.4x+60=21x
Move the variable to the left side
0.4x+60−21x=0
Subtract the terms
More Steps

Evaluate
0.4x−21x
Collect like terms by calculating the sum or difference of their coefficients
(0.4−21)x
Subtract the numbers
More Steps

Evaluate
0.4−21
Convert the decimal into a fraction
52−21
Reduce fractions to a common denominator
5×22×2−2×55
Multiply the numbers
102×2−2×55
Multiply the numbers
102×2−105
Write all numerators above the common denominator
102×2−5
Multiply the numbers
104−5
Subtract the numbers
10−1
Use b−a=−ba=−ba to rewrite the fraction
−101
−101x
−101x+60=0
Move the constant to the right side
−101x=0−60
Removing 0 doesn't change the value,so remove it from the expression
−101x=−60
Change the signs on both sides of the equation
101x=60
Multiply by the reciprocal
101x×10=60×10
Multiply
x=60×10
Solution
x=600
Show Solution

Rewrite the equation
x=600
Evaluate
40%x+60=21x
Evaluate
More Steps

Evaluate
40%x+60
Calculate
More Steps

Evaluate
40%x
By definition p%=p×0.01
40×0.01x
Calculate
0.4x
0.4x+60
0.4x+60=21x
Convert the decimal into a fraction
More Steps

Evaluate
0.4
Convert the decimal into a fraction
104
Reduce the fraction
52
52x+60=21x
Multiply both sides of the equation by LCD
4x+600=5x
Move the variable to the left side
−x+600=0
Move the constant to the right side
−x=−600
Solution
x=600
Show Solution
