Whakaoti i te 10x-(21-4x)=-11(5-2x)

$$10 x - ( 21 - 4 x ) = - 11 ( 5 - 2 x )$$

Whakaoti mō x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o 21-4x, kimihia te tauaro o ia taurangi.

$$10x-21-\left(-4x\right)=-11\left(5-2x\right)$$

Ko te tauaro o -4x ko 4x.

$$10x-21+4x=-11\left(5-2x\right)$$

Pahekotia te 10x me 4x, ka 14x.

$$14x-21=-11\left(5-2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -11 ki te 5-2x.

$$14x-21=-55+22x$$

Tangohia te 22x mai i ngā taha e rua.

$$14x-21-22x=-55$$

Pahekotia te 14x me -22x, ka -8x.

$$-8x-21=-55$$

Me tāpiri te 21 ki ngā taha e rua.

$$-8x=-55+21$$

Tāpirihia te -55 ki te 21, ka -34.

$$-8x=-34$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{-34}{-8}$$

Whakahekea te hautanga \frac{-34}{-8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{17}{4}$$