solve the equation- the quantity x minus two divided by five plus eight equals 11
To solve the equation, follow these steps:
1. Begin by distributing the division of 5 to both terms inside the parentheses:
(x - 2)/5 + 8 = 11.
2. Subtract 8 from both sides to isolate the fraction:
(x - 2)/5 = 11 - 8,
(x - 2)/5 = 3.
3. Multiply both sides by 5 to cancel out the division:
5(x - 2)/5 = 3 * 5,
x - 2 = 15.
4. Add 2 to both sides to solve for x:
x - 2 + 2 = 15 + 2,
x = 17.
Therefore, the solution to the equation is x = 17.