Whakaoti i te 5x+{-2x+(-x+6)}=18-{-(7x+6)-(3x-24)}

$$5 x + \{ - 2 x + ( - x + 6 ) \} = 18 - \{ - ( 7 x + 6 ) - ( 3 x - 24 ) \}$$

Whakaoti mō x

$$x=\frac{3}{4}=0.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 5x me -2x, ka 3x.

$$3x-x+6=18-\left(-\left(7x+6\right)-\left(3x-24\right)\right)$$

Hei kimi i te tauaro o 7x+6, kimihia te tauaro o ia taurangi.

$$3x-x+6=18-\left(-7x-6-\left(3x-24\right)\right)$$

Hei kimi i te tauaro o 3x-24, kimihia te tauaro o ia taurangi.

$$3x-x+6=18-\left(-7x-6-3x-\left(-24\right)\right)$$

Ko te tauaro o -24 ko 24.

$$3x-x+6=18-\left(-7x-6-3x+24\right)$$

Pahekotia te -7x me -3x, ka -10x.

$$3x-x+6=18-\left(-10x-6+24\right)$$

Tāpirihia te -6 ki te 24, ka 18.

$$3x-x+6=18-\left(-10x+18\right)$$

Hei kimi i te tauaro o -10x+18, kimihia te tauaro o ia taurangi.

$$3x-x+6=18-\left(-10x\right)-18$$

Ko te tauaro o -10x ko 10x.

$$3x-x+6=18+10x-18$$

Tangohia te 18 i te 18, ka 0.

$$3x-x+6=10x$$

Tangohia te 10x mai i ngā taha e rua.

$$3x-x+6-10x=0$$

Pahekotia te 3x me -10x, ka -7x.

$$-7x-x+6=0$$

Tangohia te 6 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-7x-x=-6$$

Pahekotia te -7x me -x, ka -8x.

$$-8x=-6$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{-6}{-8}$$

Whakahekea te hautanga \frac{-6}{-8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{3}{4}$$