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Solve each of the following equations: (i) `1/2x+7x-6=7x+1/4` (ii)`3/4x+4x=7/8+6x-6` (iii)`7/2x-5/2x=(20)/3x+10` (iv) `(6x+1)/2+1=(7x-3)/3`

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(i) `1/2x+7x-6=7x+1/4`
`=>x/2-6=1/4`
`=>x/2=1/4+6`
`=>x=25/4×2`
`=>x=25/2=12.5`

(ii)`3/4x+4x=7/8+6x-6`
`=>3x/4-7/8=2x-6`
`=>6x-7=( 2x-6)8`
`=>6x-7=16x-48`
`=>6x-16x=-48+7`
`=>-10x=-41`
`=>x=4.1`

(iii)`7/2x-5/2x=(20)/3x+10`
`=>(7x-5x)/2=20/3x+10`
`=>2x/2=20/3x+10`
`=>x-20/3x=10`
`=>(3x-20x)/3=10`
`=>-17x/3=10`
`=>x=-30/17`

(iv) `(6x+1)/2+1=(7x-3)/3`
`=>3(6x+3)=2(7x-3)`
`=>18x-14x=-6-9`
`=>x=-15/4`
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