Whakaoti i te (15*5.2)+(x*4.6)=5*(15+x)

$$(15 \times 5.2)+(x \times 4.6)=5 \times (15+x)$$

Whakaoti mō x

$$x=7.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 15 ki te 5.2, ka 78.

$$78+x\times 4.6=5\left(15+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 15+x.

$$78+x\times 4.6=75+5x$$

Tangohia te 5x mai i ngā taha e rua.

$$78+x\times 4.6-5x=75$$

Pahekotia te x\times 4.6 me -5x, ka -0.4x.

$$78-0.4x=75$$

Tangohia te 78 mai i ngā taha e rua.

$$-0.4x=75-78$$

Tangohia te 78 i te 75, ka -3.

$$-0.4x=-3$$

Whakawehea ngā taha e rua ki te -0.4.

$$x=\frac{-3}{-0.4}$$

Whakarohaina te \frac{-3}{-0.4} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{-30}{-4}$$

Whakahekea te hautanga \frac{-30}{-4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{15}{2}$$