Question
Solve the equation
x=229325
Alternative Form
x≈1.419214
Evaluate
43x−521x=45−203x
Multiply both sides of the equation by LCD
(43x−521x)×260=(45−203x)×260
Simplify the equation
More Steps

Evaluate
(43x−521x)×260
Apply the distributive property
43x×260−521x×260
Simplify
3x×65−x×5
Multiply the numbers
195x−x×5
Use the commutative property to reorder the terms
195x−5x
Collect like terms by calculating the sum or difference of their coefficients
(195−5)x
Subtract the numbers
190x
190x=(45−203x)×260
Simplify the equation
More Steps

Evaluate
(45−203x)×260
Apply the distributive property
45×260−203x×260
Simplify
5×65−3x×13
Multiply the numbers
325−3x×13
Multiply the numbers
325−39x
190x=325−39x
Move the variable to the left side
190x+39x=325
Add the terms
More Steps

Evaluate
190x+39x
Collect like terms by calculating the sum or difference of their coefficients
(190+39)x
Add the numbers
229x
229x=325
Divide both sides
229229x=229325
Solution
x=229325
Alternative Form
x≈1.419214
Show Solution

Rewrite the equation
229x=325
Evaluate
43x−521x=45−203x
Rewrite the expression
43x−521x=45−203x
Rewrite the expression
More Steps

Evaluate
45−203x
Reduce the fraction
More Steps

Evaluate
−203x
Use b−a=−ba=−ba to rewrite the fraction
20−3x
Reduce the fraction
−203x
45−203x
43x−521x=45−203x
Multiply both sides of the equation by LCD
190x=325−39x
Solution
229x=325
Show Solution
