Question

What is the solution to the linear equation?

2/3x - 1/2 = 1/3 + 5/6x
X = -5
X = -1/6
X = 1/6
X = 5

Answer 1

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Answer:

x = -5.

Explanation:

Solving for x from the equation:

`(2)/(3)x - (1)/(2) = (1)/(3) +(5)/(6)x`

Begin by creating a common denominator for the terms involving x as well as the constants:

`(4)/(6)x - (3)/(6) = (2)/(6) +(5)/(6)x`

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

`(4)/(6)x-(5)/(6)x - (3)/(6) = (2)/(6)`

`-(1)/(6)x - (3)/(6) = (2)/(6)`

Add 3/6 to both sides:

`-(1)/(6)x = (5)/(6)`

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

`-(1)/(6)x(-6) = (5)/(6)(-6)`

x = -5.