Question

5 = 5/8x + 1/2x - 4 with work please :)

Answer 1

`5=(5)/(8)x+(1)/(2)x-4`

solve for x

`(5)/(8)x+(1)/(2)x-4=5`

add 4 on both sides

`(5)/(8)x+(1)/(2)x-4+4=5+4`

simplify

`(5)/(8)x+(1)/(2)x=9`

find the common minimum of 2 and 8 and multiply

`(5)/(8)x\cdot\: 8+(1)/(2)x\cdot\: 8=9\cdot\: 8`

simplify

`\begin{gathered} 5x+4x=72 \\ 9x=72 \end{gathered}`

divide both sides by 9

`(9x)/(9)=(72)/(9)`

simplify

`x=8`