What is the value of x in the equation?

How to solve equation: (x-2)/3+1/6=5/6

2 Answers


  1. 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 1/6-5/6

    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 (x-2)/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

    Khan27 Khan27
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  1. 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

    JohnP JohnP
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