Question

Show your work (step by step!)

Answer 1

What the other person said

Answer 2

`x = (7)/(8)` or
`x = 0.875`

Explanation:

Step 1:

`(1)/(6) + (1)/(12) x ( 7 - 24x) = (8)/(3) x ((1)/(2) -x)`,

`(1)/(6) + (7)/(12) - 2x = (8)/(3) x ((1)/(2) - x)`

`(1)/(6) + (7)/(12) - 2x = (4)/(3) - (8)/(3)x`

Step 2:

`(1)/(6) + (7)/(12) - 2x = (4)/(3) - (8)/(3)x`

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

Step 3:

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

`9 - 24x = 16 - 32x`

Step 4:

`9 - 24x = 16 - 32x`

`9 - 24x + 32x = 16`

`-24x + 32x = 16 - 9`

Step 5:

`-24x + 32x = 16 - 9`

`8x = 16 - 9`

`8x = 7`

Step 6:

`x = (7)/(8)`

Hope this helped.