Question
Solve the equation
x=415
Alternative Form
x=3.75
Evaluate
1−20%x=41
Calculate
More Steps

Evaluate
20%x
By definition p%=p×0.01
20×0.01x
Calculate
0.2x
1−0.2x=41
Move the constant to the right-hand side and change its sign
−0.2x=41−1
Subtract the numbers
More Steps

Evaluate
41−1
Reduce fractions to a common denominator
41−44
Write all numerators above the common denominator
41−4
Subtract the numbers
4−3
Use b−a=−ba=−ba to rewrite the fraction
−43
−0.2x=−43
Change the signs on both sides of the equation
0.2x=43
Multiply by the reciprocal
0.2x×5=43×5
Multiply
x=43×5
Solution
More Steps

Evaluate
43×5
Multiply the numbers
43×5
Multiply the numbers
415
x=415
Alternative Form
x=3.75
Show Solution

Rewrite the equation
4x=15
Evaluate
1−20%x=41
Evaluate
More Steps

Evaluate
1−20%x
Calculate
More Steps

Evaluate
20%x
By definition p%=p×0.01
20×0.01x
Calculate
0.2x
1−0.2x
1−0.2x=41
Convert the decimal into a fraction
More Steps

Evaluate
0.2
Convert the decimal into a fraction
102
Reduce the fraction
51
1−51x=41
Multiply both sides of the equation by LCD
20−4x=5
Move the constant to the right side
−4x=−15
Solution
4x=15
Show Solution
