Whakaoti i te -3left(2-xright)+3left(x+6right)=10-4left(6+4xright)

$$-3 \left( 2-x \right) +3 \left( x+6 \right) = 10-4 \left( 6+4x \right)$$

Whakaoti mō x

$$x = -\frac{13}{11} = -1\frac{2}{11} \approx -1.181818182$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2-x.

$$-6+3x+3\left(x+6\right)=10-4\left(6+4x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+6.

$$-6+3x+3x+18=10-4\left(6+4x\right)$$

Pahekotia te 3x me 3x, ka 6x.

$$-6+6x+18=10-4\left(6+4x\right)$$

Tāpirihia te -6 ki te 18, ka 12.

$$12+6x=10-4\left(6+4x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 6+4x.

$$12+6x=10-24-16x$$

Tangohia te 24 i te 10, ka -14.

$$12+6x=-14-16x$$

Me tāpiri te 16x ki ngā taha e rua.

$$12+6x+16x=-14$$

Pahekotia te 6x me 16x, ka 22x.

$$12+22x=-14$$

Tangohia te 12 mai i ngā taha e rua.

$$22x=-14-12$$

Tangohia te 12 i te -14, ka -26.

$$22x=-26$$

Whakawehea ngā taha e rua ki te 22.

$$x=\frac{-26}{22}$$

Whakahekea te hautanga \frac{-26}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{13}{11}$$