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

Solve for x.

(1/4 is one fourth, 1/2 is one half, - 3/4 is negative three fourths)

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

get a common denominator 1/4

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

combine like terms

3/4 + x = -3/4

subtract 3/4 from each side

x = - 3/4 - 3/4

x = - 6/4

divide top and bottom by 2

x = - 3/2

x = - 1 1/2

Answer : x = - 1 1/2

x = - 7/4

Step-by-step explanation:

Identify the LCD (it is 4) and mult. all terms of the given equation by it:

1 + 2 + 4x = - 3

Then: 4x = - 3 - 2 - 1, or 4x = - 7. Therefore, x = - 7/4.