Solve for x (2x-1)/(x+2)=4/5

Problem

(2*x−1)/(x+2)=4/5

Solution

1. Cross-multiply to eliminate the denominators by multiplying the numerator of each side by the denominator of the other side.

5*(2*x−1)=4*(x+2)

2. Distribute the constants into the parentheses on both sides of the equation.

10*x−5=4*x+8

3. Isolate the variable by subtracting 4*x from both sides.

6*x−5=8

4. Isolate the constant by adding 5 to both sides.

6*x=13

5. Solve for x by dividing both sides by 6

x=13/6

Final Answer

(2*x−1)/(x+2)=4/5⇒x=13/6

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