Balance the equation by ion electron method
`MnO_(4)^(-) + Br^(-) to Mn^(2+) + Br_(2)` (acidic medium)

Explanation

`overset(+7)(MnO_(4)^(-))+5e^(-)+8H^(+) to Mn^(2+)+4H_(2)O ......(1) xx 2`
`2Br^(-) to overset(0)(Br_(2))+2e^(-) ........(2) xx 5`
`2MnO_(4)^(-)+10e^(-) +16H^(+) to 2Mn^(2+)+8H_(2)O `
`10Br^(-) to 5Br_(2)+10e^(-)`
`2MnO_(4)^(-)+10Br^(-)+16H^(+) to 2Mn^(2+)+5Br_(2)+8H_(2)O`