Solve by Factoring 6/x=7/(x+3)

Problem

6/x=7/(x+3)

Solution

1. Cross-multiply the fractions to eliminate the denominators.

6*(x+3)=7*x

2. Distribute the constant on the left side of the equation.

6*x+18=7*x

3. Isolate the variable by subtracting 6*x from both sides.

18=7*x−6*x

4. Simplify the expression to find the value of x

18=x

5. Verify that the solution does not result in a denominator of zero in the original equation.

x≠0

x+3≠0⇒x≠−3

Final Answer

6/x=7/(x+3)⇒x=18

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