3/4(4/3х-4)-8(2 1/4х+3/8)

To solve this expression, let's simplify step by step.

First, let's simplify the expression inside the first set of parentheses: 4/3 * x - 4:

3/4 * (4/3x - 4) - 8(2 1/4x + 3/8)

Next, let's multiply 3/4 by each term inside the parentheses:

3/4 * 4/3x - 3/4 * 4

This simplifies to:

1x - 3

So now our expression becomes:

1x - 3 - 8(2 1/4x + 3/8)

Now, let's simplify the expression inside the second set of parentheses: 2 1/4x + 3/8

To combine the whole number and fraction, multiply the whole number by the denominator of the fraction and add the numerator of the fraction:

2 * 4 + 1 * 1 / 4x + 3/8

This simplifies to:

8/4x + 1/4 + 3/8

Now, let's combine like terms:

1x - 3 - 8(8/4x + 1/4 + 3/8)

8/4x simplifies to 2x, so our expression is now:

1x - 3 - 8(2x + 1/4 + 3/8)

Next, let's simplify the expression inside the second set of parentheses: 2x + 1/4 + 3/8

To combine the 1/4 and 3/8, we need to find a common denominator:

1/4 + 3/8

To find the common denominator, we multiply the denominators together: 4 * 8 = 32

So our expression becomes:

1x - 3 - 8(2x + 8/32 + 12/32)

Now, let's combine the numerators:

1/4 + 3/8 = 2/8 + 3/8 = 5/8

Our expression is now:

1x - 3 - 8(2x + 5/8)

Finally, let's distribute the -8 to each term inside the parentheses:

1x - 3 - 16x - 5/8

To combine like terms, we add the x terms and the constants:

(1x - 16x) - 3 - 5/8

This simplifies to:

-15x - 3 - 5/8