SOLUTION: i would much appreciate help in how to solve this linear equation. without using a graph, how do you find the value of x when the denominator of the fraction is the unknown + a num

Question 174223: i would much appreciate help in how to solve this linear equation. without using a graph, how do you find the value of x when the denominator of the fraction is the unknown + a numeral.
(6k-3)/(2k+7)=(3k-2)/(k+5)
can you please simplify the answer in a step by step format. Thankyou so much.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

First thing to do is clear the denominators. We will need to come back to this step later to verify our 'answer' is a valid one. So cross multiply and clear them.
Now expand
simplify
collect like terms

Will that value if k make either of the original denominators = 0? No it won't so, 1/10 is a valid possibility.
Check the original equation using x=(1/10) and verify it satisfies the equation. Does it?

which is true. so the answer is 1/10

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