Question
Solve the equation
x=2200
Evaluate
90%x−180=80%x+40
Calculate
More Steps

Evaluate
90%x
By definition p%=p×0.01
90×0.01x
Calculate
0.9x
0.9x−180=80%x+40
Calculate
More Steps

Evaluate
80%x
By definition p%=p×0.01
80×0.01x
Calculate
0.8x
0.9x−180=0.8x+40
Move the expression to the left side
0.9x−180−0.8x=40
Move the expression to the right side
0.9x−0.8x=40+180
Add and subtract
More Steps

Evaluate
0.9x−0.8x
Collect like terms by calculating the sum or difference of their coefficients
(0.9−0.8)x
Subtract the numbers
0.1x
0.1x=40+180
Add and subtract
0.1x=220
Divide both sides
0.10.1x=0.1220
Divide the numbers
x=0.1220
Solution
More Steps

Evaluate
0.1220
Convert the decimal into a fraction
101220
Multiply by the reciprocal
220×10
Multiply the numbers
2200
x=2200
Show Solution

Rewrite the equation
x=2200
Evaluate
90%x−180=80%x+40
Evaluate
More Steps

Evaluate
90%x−180
Calculate
More Steps

Evaluate
90%x
By definition p%=p×0.01
90×0.01x
Calculate
0.9x
0.9x−180
0.9x−180=80%x+40
Evaluate
More Steps

Evaluate
80%x+40
Calculate
More Steps

Evaluate
80%x
By definition p%=p×0.01
80×0.01x
Calculate
0.8x
0.8x+40
0.9x−180=0.8x+40
Convert the decimal into a fraction
109x−180=0.8x+40
Convert the decimal into a fraction
More Steps

Evaluate
0.8x+40
Convert the expressions
More Steps

Evaluate
0.8
Convert the decimal into a fraction
108
Reduce the fraction
54
54x+40
109x−180=54x+40
Multiply both sides of the equation by LCD
9x−1800=8x+400
Move the variable to the left side
x−1800=400
Solution
x=2200
Show Solution
