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
Question
Solving gives a solution that is a fraction. Give this solution as an improper fraction in simplest form.
Solution
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.
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