Question

What is the value of x in the equation Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?

Answer 1

8

Explanation:

i just took it on edge and ANND GOT IT RIGHT so ignore that wrong person that would of took your 100 percent away or whatever present

Answer 2

Answer:
`x=-44`

Explanation:

Given the following equation:

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

You can follow these steps in order to solve for "x" and find its value:

1. You must apply the Distributive property:

`((1)/(4)x)((3)/(4))+(8)((3)/(4))-(1)/(2)x-2=(4)((3)/(8))-(x)((3)/(8))-(1)/(4)\\\\(3)/(16)x+6-(1)/(2)x-2=(3)/(2)}-(3)/(8)x-(1)/(4)`

2. Add the like terms:

`-(5)/(16)x+4=-(3)/(8)x+(5)/(4)`

3. Add
`(3)/(8)x` to both sides of the equation:

`-(5)/(16)x+4+(3)/(8)x=-(3)/(8)x+(5)/(4)+(3)/(8)x\\\\(1)/(16)x+4=(5)/(4)`

4. Substract 4 from both sides of the equation:

`(1)/(16)x+4-4=(5)/(4)-4\\\\(1)/(16)x=-(11)/(4)`

5. Finally, multiply both sides of the equation by 16. Then, you get:

`(16)((1)/(16)x)=(-(11)/(4))(16)\\\\x=-44`