Question

7/8 × (4-x) - (3/4 + x)

Answer 1

0.875(4-x)-(0.75+х)
3.5-0.875х-0.75+х=0
-0.875х+х=-3.5+0.75
0.125х=-2.75
х=-22

Answer 2

To simplify the expression 7/8 × (4 - x) - (3/4 + x), we can follow the order of operations (PEMDAS/BODMAS).

Step 1: Simplify the parentheses.

7/8 × (4 - x) - (3/4 + x) = 7/8 × 4 - 7/8 × x - 3/4 - x

Step 2: Perform multiplications.

= (7/8) × 4 - (7/8) × x - (3/4) - x = 28/8 - 7/8 × x - 3/4 - x

Step 3: Combine like terms.

= 7/2 - 7/8 × x - 3/4 - x

Step 4: Simplify further.

To combine the terms involving x, we need to have the same denominator. Let's convert 7/8 to have a denominator of 4.

= 7/2 - (7/8) × (x/1) - (3/4) - x = 7/2 - (7/8) × (4x/4) - (3/4) - x = 7/2 - (28x/32) - (3/4) - x

Now, let's combine the terms.

= 7/2 - 28x/32 - 3/4 - x = 14/4 - 28x/32 - 24/32 - 32x/32 = (14 - 28x - 24 - 32x) / 32 = (38 - 60x) / 32

Therefore, the simplified form of the expression 7/8 × (4 - x) - (3/4 + x) is (38 - 60x) / 32.