Whakaoti i te (x-3/10)*8/7=(105-x)+3/10

$$(x- \frac{ 3 }{ 10 } ) \times \frac{ 8 }{ 7 } =(105-x)+ \frac{ 3 }{ 10 }$$

Whakaoti mō x

$$x = \frac{493}{10} = 49\frac{3}{10} = 49.3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x-\frac{3}{10} ki te \frac{8}{7}.

$$x\times \frac{8}{7}-\frac{3}{10}\times \frac{8}{7}=105-x+\frac{3}{10}$$

Me whakarea te -\frac{3}{10} ki te \frac{8}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x\times \frac{8}{7}+\frac{-3\times 8}{10\times 7}=105-x+\frac{3}{10}$$

Mahia ngā whakarea i roto i te hautanga \frac{-3\times 8}{10\times 7}.

$$x\times \frac{8}{7}+\frac{-24}{70}=105-x+\frac{3}{10}$$

Whakahekea te hautanga \frac{-24}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x\times \frac{8}{7}-\frac{12}{35}=105-x+\frac{3}{10}$$

Me tahuri te 105 ki te hautau \frac{1050}{10}.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1050}{10}-x+\frac{3}{10}$$

Tā te mea he rite te tauraro o \frac{1050}{10} me \frac{3}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1050+3}{10}-x$$

Tāpirihia te 1050 ki te 3, ka 1053.

$$x\times \frac{8}{7}-\frac{12}{35}=\frac{1053}{10}-x$$

Me tāpiri te x ki ngā taha e rua.

$$x\times \frac{8}{7}-\frac{12}{35}+x=\frac{1053}{10}$$

Pahekotia te x\times \frac{8}{7} me x, ka \frac{15}{7}x.

$$\frac{15}{7}x-\frac{12}{35}=\frac{1053}{10}$$

Me tāpiri te \frac{12}{35} ki ngā taha e rua.

$$\frac{15}{7}x=\frac{1053}{10}+\frac{12}{35}$$

Ko te maha noa iti rawa atu o 10 me 35 ko 70. Me tahuri \frac{1053}{10} me \frac{12}{35} ki te hautau me te tautūnga 70.

$$\frac{15}{7}x=\frac{7371}{70}+\frac{24}{70}$$

Tā te mea he rite te tauraro o \frac{7371}{70} me \frac{24}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15}{7}x=\frac{7371+24}{70}$$

Tāpirihia te 7371 ki te 24, ka 7395.

$$\frac{15}{7}x=\frac{7395}{70}$$

Whakahekea te hautanga \frac{7395}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{15}{7}x=\frac{1479}{14}$$

Me whakarea ngā taha e rua ki te \frac{7}{15}, te tau utu o \frac{15}{7}.

$$x=\frac{1479}{14}\times \frac{7}{15}$$

Me whakarea te \frac{1479}{14} ki te \frac{7}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{1479\times 7}{14\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{1479\times 7}{14\times 15}.

$$x=\frac{10353}{210}$$

Whakahekea te hautanga \frac{10353}{210} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 21.

$$x=\frac{493}{10}$$