To solve for x, we first need to get rid of the denominators by multiplying every term by the least common denominator, which is 16 in this case.
(16)(3/4x) + (16)(5/8) = (16)(1/2x) - (16)(9/16)
12x + 10 = 8x - 9
Next, we want to isolate all the x terms on one side and the constants on the other side.
12x - 8x = -9 - 10
4x = -19
Finally, divide by 4 to solve for x:
x = -19 / 4
Therefore, x = -4.75.
To solve for x, we first need to get rid of the denominators by multiplying every term by the least common denominator, which is 16 in this case.
(16)(3/4x) + (16)(5/8) = (16)(1/2x) - (16)(9/16)
12x + 10 = 8x - 9
Next, we want to isolate all the x terms on one side and the constants on the other side.
12x - 8x = -9 - 10
4x = -19
Finally, divide by 4 to solve for x:
x = -19 / 4
Therefore, x = -4.75.