Whakaoti i te 3(x+1)-5(x+10)=9(x-4)-9(x-8)

$$3 ( x + 1 ) - 5 ( x + 10 ) = 9 ( x - 4 ) - 9 ( x - 8 )$$

Whakaoti mō x

$$x = -\frac{83}{2} = -41\frac{1}{2} = -41.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+1.

$$3x+3-5\left(x+10\right)=9\left(x-4\right)-9\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x+10.

$$3x+3-5x-50=9\left(x-4\right)-9\left(x-8\right)$$

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

$$-2x+3-50=9\left(x-4\right)-9\left(x-8\right)$$

Tangohia te 50 i te 3, ka -47.

$$-2x-47=9\left(x-4\right)-9\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te x-4.

$$-2x-47=9x-36-9\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -9 ki te x-8.

$$-2x-47=9x-36-9x+72$$

Pahekotia te 9x me -9x, ka 0.

$$-2x-47=-36+72$$

Tāpirihia te -36 ki te 72, ka 36.

$$-2x-47=36$$

Me tāpiri te 47 ki ngā taha e rua.

$$-2x=36+47$$

Tāpirihia te 36 ki te 47, ka 83.

$$-2x=83$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{83}{-2}$$

Ka taea te hautanga \frac{83}{-2} te tuhi anō ko -\frac{83}{2} mā te tango i te tohu tōraro.

$$x=-\frac{83}{2}$$