81.4k views
4 votes
What is the value of x in the equation x-2 over 3 + 1 over 6 = 5 over 6

User Usmanali
by
8.8k points

1 Answer

2 votes

Answer:


\large\boxed{x=4}

Explanation:


(x-2)/(3)+(1)/(6)=(5)/(6)\qquad\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup^2\cdot(x-2)/(3\!\!\!\!\diagup_1)+6\!\!\!\!\diagup^1\cdot(1)/(6\!\!\!\!\diagup_1)=6\!\!\!\!\diagup^1\cdot(5)/(6\!\!\!\!\diagup_1)\\\\2(x-2)+1=5\qquad\text{use distributive property}\\\\(2)(x)+(2)(-2)+1=5\\\\2x-4+1=5\\\\2x-3=5\qquad\text{add 3 to both sides}\\\\2x-3+3=5+3\\\\2x=8\qquad\text{divide both sides by 2}\\\\(2x)/(2)=(8)/(2)\\\\x=4

User Leandro Poblet
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories