Question

What is the solution to the linear equation ?

Answer 1

Answer:

A

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Step-by-step explanation:

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Answer 2

Answer:

x = -5

Step-by-step explanation:

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

we observe that the denominators are 3, 2 and 6 and the lowest common multiple between the 3 numbers is 6.

Therefore we multiply each term of the equation of the equation by 6 in order to remove the fractions:

(2/3)x - (1/2) = (1/3) + (5/6)x    (multiply all terms by 6)

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

4x - 3 = 2 + 5x     (add 3 to both sides)

4x = 2 + 5x + 3

4x = 5 + 5X   (subtract 5x from btoh sides)

4x - 5x = 5

-x = 5 (multiply both sides by -1)

x = -5  (answer)