Below are the step-by-step calculations for oxidation numbers of the underlined elements using standard rules: alkali metals (+1), H (+1 except in hydrides -1), O (-2 except peroxides -1), etc. Neutral compounds sum to 0.[web:1][web:4][page:0][web:6]
\( +1 + 2(+1) + x + 4(-2) = 0 \)
\( x = +5 \)
P: +5
\( +1 + (+1) + x + 4(-2) = 0 \)
\( x = +6 \)
S: +6
\( 4(+1) + 2x + 7(-2) = 0 \)
\( x = +5 \)
P: +5
\( 2(+1) + x + 4(-2) = 0 \)
\( x = +6 \)
Mn: +6
\( +2 + 2x = 0 \) (peroxide)
\( x = -1 \)
O: -1
[web:11][page:0][web:6]
\( +1 + x + 4(-1) = 0 \) (hydride)
\( x = +3 \)
B: +3
\( 2(+1) + 2x + 7(-2) = 0 \)
\( x = +6 \)
S: +6
Ignore water: \( +1 + (+3) + 2x + 8(-2) = 0 \)
\( x = +6 \)
S: +6