Solving 5(x−3)+x−1=55(𝑥−3)+𝑥−1=5 gives a solution that is a fraction. Give this solution as an improper fraction in simplest form

First, distribute the 5 in the expression 5(x-3) on the left side of the equation:

5x - 53 + x - 1 = 5 5x - 15 + x - 1 = 5

Combine like terms:

6x - 16 = 5

Next, add 16 to both sides of the equation to isolate the term with x on one side:

6x = 21

Finally, divide both sides by 6 to solve for x:

x = 21/6

Simplify the fraction to get the solution in simplest form:

x = 7/2

So, the solution to the equation 5(x−3)+x−1=5 is x = 7/2.