Final answer:
To solve the equation, we simplify it using the distributive property and combine like terms.
Step-by-step explanation:
To determine the value of x in the equation, we need to simplify the equation by applying the distributive property and combining like terms. Starting with the given equation:
five sixths times the quantity x plus 2 end quantity minus three sixths times x equals two sixths times the quantity x plus 5 end quantity
we can rewrite it as:
5/6(x + 2) - 3/6x = 2/6(x + 5)
Simplifying further:
5/6x + 10/6 - 3/6x = 2/6x + 10/6
Combining like terms:
2/6x + 10/6 - 10/6 = 0
2/6x = 0
x = 0