Please solve using the addition principle please do check

x + 3/13 = 5/13

Subtract 3/13 from both sides of the equation.

x+3/13=5/13

x=5/13-3/13
x=2/13

To solve the equation x + 3/13 = 5/13 using the addition principle, we need to isolate the variable x on one side of the equation.

Step 1: Eliminate the fraction by multiplying both sides of the equation by the denominator, which is 13 in this case.

(x + 3/13) * 13 = (5/13) * 13

This simplifies the equation to:

13(x) + 3 = 5

Step 2: Distribute the 13 to both terms inside the parentheses.

13x + 3 = 5

Step 3: Move the constant term (3) to the other side of the equation by subtracting 3 from both sides.

13x + 3 - 3 = 5 - 3

This simplifies the equation to:

13x = 2

Step 4: Solve for x by dividing both sides of the equation by the coefficient of x, which is 13.

(13x)/13 = 2/13

This simplifies the equation to:

x = 2/13

Therefore, the solution to the equation x + 3/13 = 5/13 is x = 2/13.