Question

What is the value of x in the equation x-2 over 3 + 1 over 6 = 5 over 6

Answer 1

`\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`