Solve for x (x-2)/3+(x+5)/3=1/3

Problem

(x−2)/3+(x+5)/3=1/3

Solution

1. Identify the common denominator on the left side of the equation, which is 3

2. Combine the fractions on the left side over the single denominator.

((x−2)+(x+5))/3=1/3

3. Multiply both sides of the equation by 3 to eliminate the denominators.

(x−2)+(x+5)=1

4. Combine like terms on the left side by adding the x terms and the constant terms.

2*x+3=1

5. Isolate the term with x by subtracting 3 from both sides.

2*x=−2

6. Solve for x by dividing both sides by 2

x=−1

Final Answer

(x−2)/3+(x+5)/3=1/3⇒x=−1

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