What is the value of x in the equation?
How to solve equation: (x2)/3+1/6=5/6
2 Answers

Solutions: x=4
Detailed explanation:
Look at 5/6
Moved these terms to the left: – 5/6
It becomes: (x – 2)/3 + 1/6 – 5/6=0
Look at 1/65/6
Added fractions or integers together, it becomes: (x – 2)/3 – 4/6=0
Look at 4/6
Factors 4 and 6 have greatest common factor of 2. Reducing fraction.
It becomes: (x – 2)/3 – 2/3=0
Look at (x2)/3
Expanded term 1/3 by using associative property on (x – 2)
It becomes: x/3 – 2/3 – 2/3 = 0
Look at – 2/3 – 2/3
Added fractions or integers together.
It becomes: x/3 – 4/3 = 0
Move the 4/3 term to the right of the = sign, so that term involving the variable are on the left and the right side of the equation has only numbers.
It becomes: x/3 = 4/3
3x = 12
x = 12/3
x = 4

There is a simpler solution.
Multiply everything by 6 to get rid of denominators in equation:
2(x − 2) + 1 = 5
2x − 4 + 1 = 5
2x − 3 = 5
2x = 8
x=4