Solve for x x-13/12=(5x)/18+13/12

Problem

x−13/12=(5*x)/18+13/12

Solution

1. Identify the least common multiple of the denominators 12 and 18 to clear the fractions.

2. Calculate the least common multiple, which is 36

3. Multiply every term in the equation by 36 to eliminate the denominators.

36*(x)−36*(13/12)=36*((5*x)/18)+36*(13/12)

4. Simplify the resulting terms.

36*x−39=10*x+39

5. Subtract 10*x from both sides to group the variable terms.

26*x−39=39

6. Add 39 to both sides to isolate the term with x

26*x=78

7. Divide both sides by 26 to solve for x

x=78/26

8. Simplify the fraction.

x=3

Final Answer

x−13/12=(5*x)/18+13/12⇒x=3

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