Question
Solve the equation
x=30
Evaluate
5x−2x=−9
Multiply both sides of the equation by LCD
(5x−2x)×10=−9×10
Simplify the equation
More Steps

Evaluate
(5x−2x)×10
Apply the distributive property
5x×10−2x×10
Simplify
x×2−x×5
Use the commutative property to reorder the terms
2x−x×5
Use the commutative property to reorder the terms
2x−5x
Collect like terms by calculating the sum or difference of their coefficients
(2−5)x
Subtract the numbers
−3x
−3x=−9×10
Simplify the equation
−3x=−90
Change the signs on both sides of the equation
3x=90
Divide both sides
33x=390
Divide the numbers
x=390
Solution
More Steps

Evaluate
390
Reduce the numbers
130
Calculate
30
x=30
Show Solution

Rewrite the equation
x=30
Evaluate
5x−2x=−9
Rewrite the expression
More Steps

Evaluate
5x−2x
Reduce the fraction
51x−2x
Reduce the fraction
More Steps

Evaluate
−2x
Use b−a=−ba=−ba to rewrite the fraction
2−x
Reduce the fraction
−21x
51x−21x
51x−21x=−9
Multiply both sides of the equation by LCD
−3x=−90
Multiply both sides
3x=90
Solution
x=30
Show Solution
