Solve for x (2x-1)/(3x-2)=1

Problem

(2*x−1)/(3*x−2)=1

Solution

1. Multiply both sides of the equation by the denominator 3*x−2 to clear the fraction.

2*x−1=1*(3*x−2)

2. Distribute the constant on the right side.

2*x−1=3*x−2

3. Subtract 2*x from both sides to begin isolating the variable x

−1=x−2

4. Add 2 to both sides to solve for x

1=x

5. Verify that the solution does not make the original denominator zero.

3*(1)−2=1

1≠0

Final Answer

(2*x−1)/(3*x−2)=1⇒x=1

Want more problems? Check here!