Question
Solve the equation
x=17180
Alternative Form
x≈10.588235
Evaluate
23×23x−65x=15
Multiply the terms
More Steps

Multiply the terms
23×23x
Multiply the terms
2×23×3x
Multiply the terms
2×29x
Multiply the terms
49x
49x−65x=15
Multiply both sides of the equation by LCD
(49x−65x)×12=15×12
Simplify the equation
More Steps

Evaluate
(49x−65x)×12
Apply the distributive property
49x×12−65x×12
Simplify
9x×3−5x×2
Multiply the numbers
27x−5x×2
Multiply the numbers
27x−10x
Collect like terms by calculating the sum or difference of their coefficients
(27−10)x
Subtract the numbers
17x
17x=15×12
Simplify the equation
17x=180
Divide both sides
1717x=17180
Solution
x=17180
Alternative Form
x≈10.588235
Show Solution

Rewrite the equation
17x=180
Evaluate
23×23x−65x=15
Evaluate
More Steps

Evaluate
23×23x−65x
Multiply the terms
More Steps

Multiply the terms
23×23x
Multiply the terms
2×23×3x
Multiply the terms
2×29x
Multiply the terms
49x
49x−65x
49x−65x=15
Rewrite the expression
More Steps

Evaluate
49x−65x
Reduce the fraction
49x−65x
Reduce the fraction
More Steps

Evaluate
−65x
Use b−a=−ba=−ba to rewrite the fraction
6−5x
Reduce the fraction
−65x
49x−65x
49x−65x=15
Solution
17x=180
Show Solution
