0.125(8x + 10) - 3( (2)/(3) x - 1) + (3)/(4)steps to solving this please

Question

`0.125(8x + 10) - 3( (2)/(3) x - 1) + (3)/(4)`steps to solving this please

Answer 1

Answer: -x + 5

Explanation:

The expression is:

`0.125\left(8x+10\right)-3((2)/(3)x-1)+(3)/(4)`

step 1: multiply what is outside the parentheses by what is inside them

`0.125\cdot8x+0.125\cdot10-3\cdot(2)/(3)x-3(-1)+(3)/(4)`

step 2: solve the multiplications we have

`x+1.25-2x+3+(3)/(4)`

step 3: convert 3/4 to decimal (3/4 = 0.75)

`x+1.25-2x+3+0.75`

step 4: Join like terms (add the terms that contain "x" and the terms that are independent)

`-x+5`

this is because x - 2x = -x and 1.25 + 3 + 0.75 = 5. Thus, the answer is:

-x + 5