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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

1 Answer

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Hey there! :)

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.

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