Which of the following is the solution set of the given equation? 14 + 8m = 14 - 3m - 5m
∅, {0}, {all reals}

Solution:

Given: Equation is 14 + 8m = 14 - 3m - 5m

⇒ 14 - 3m - 5m = 14 + 8m

Subtract 3m from 5m

⇒ 14 - 8m = 14 + 8m

Combine like terms

⇒ 14 - 14 = 8m + 8m

⇒ 0 = 16m

Divide both sides by 16

⇒ 0/16 = 16m/16

⇒ 0 = m

Therefore, the value of m is 0

Which of the following is the solution set of the given equation? 14 + 8m = 14 - 3m - 5m

Summary:  

The solution for the given set 14 + 8m = 14 - 3m - 5m is {0}.