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X+2 1/2= 4x+3/4-2-3x/8

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To solve the equation, let's simplify and combine like terms:

x + 2 1/2 = 4x + 3/4 - 2 - 3x/8

First, let's convert the mixed numbers to improper fractions:

x + 5/2 = 4x + 3/4 - 8/4 - 3x/8

Next, let's combine the fractions:

x + 5/2 = 4x - 5/4 - 3x/8

To eliminate the denominators, let's multiply each term by 8:

8(x + 5/2) = 8(4x - 5/4 - 3x/8)

Simplifying further:

8x + 20 = 32x - 10 - 3x

Combine like terms:

8x + 20 = 29x - 10

Move the variables to one side and constants to the other side:

8x - 29x = -10 - 20

-21x = -30

Divide both sides by -21:

x = -30/-21

Simplifying the fraction:

x = 10/7

Therefore, the solution to the equation is x = 10/7.
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