Question
Solve the equation
x=1872400
Alternative Form
x≈12.834225
Evaluate
5x×8−20=24x
Multiply the terms
More Steps

Multiply the terms
5x×8
Multiply the terms
5x×8
Use the commutative property to reorder the terms
58x
58x−20=24x
Multiply both sides of the equation by LCD
(58x−20)×120=24x×120
Simplify the equation
More Steps

Evaluate
(58x−20)×120
Apply the distributive property
58x×120−20×120
Simplify
8x×24−20×120
Multiply the numbers
192x−20×120
Multiply the numbers
192x−2400
192x−2400=24x×120
Simplify the equation
More Steps

Evaluate
24x×120
Simplify
x×5
Use the commutative property to reorder the terms
5x
192x−2400=5x
Move the variable to the left side
192x−2400−5x=0
Subtract the terms
More Steps

Evaluate
192x−5x
Collect like terms by calculating the sum or difference of their coefficients
(192−5)x
Subtract the numbers
187x
187x−2400=0
Move the constant to the right side
187x=0+2400
Removing 0 doesn't change the value,so remove it from the expression
187x=2400
Divide both sides
187187x=1872400
Solution
x=1872400
Alternative Form
x≈12.834225
Show Solution

Rewrite the equation
187x=2400
Evaluate
5x×8−20=24x
Evaluate
More Steps

Evaluate
5x×8−20
Multiply the terms
More Steps

Multiply the terms
5x×8
Multiply the terms
5x×8
Use the commutative property to reorder the terms
58x
58x−20
58x−20=24x
Rewrite the expression
58x−20=24x
Reduce the fraction
58x−20=241x
Multiply both sides of the equation by LCD
192x−2400=5x
Move the variable to the left side
187x−2400=0
Solution
187x=2400
Show Solution
