Whakaoti i te 9-2(x+4)-10(25-x+4)=5-3x-4(x+1)

$$9-2(x+4)-10(25-x+4)=5-3x-4(x+1)$$

Whakaoti mō x

$$x = \frac{58}{3} = 19\frac{1}{3} \approx 19.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+4.

$$9-2x-8-10\left(25-x+4\right)=5-3x-4\left(x+1\right)$$

Tangohia te 8 i te 9, ka 1.

$$1-2x-10\left(25-x+4\right)=5-3x-4\left(x+1\right)$$

Tāpirihia te 25 ki te 4, ka 29.

$$1-2x-10\left(29-x\right)=5-3x-4\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -10 ki te 29-x.

$$1-2x-290+10x=5-3x-4\left(x+1\right)$$

Tangohia te 290 i te 1, ka -289.

$$-289-2x+10x=5-3x-4\left(x+1\right)$$

Pahekotia te -2x me 10x, ka 8x.

$$-289+8x=5-3x-4\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te x+1.

$$-289+8x=5-3x-4x-4$$

Pahekotia te -3x me -4x, ka -7x.

$$-289+8x=5-7x-4$$

Tangohia te 4 i te 5, ka 1.

$$-289+8x=1-7x$$

Me tāpiri te 7x ki ngā taha e rua.

$$-289+8x+7x=1$$

Pahekotia te 8x me 7x, ka 15x.

$$-289+15x=1$$

Me tāpiri te 289 ki ngā taha e rua.

$$15x=1+289$$

Tāpirihia te 1 ki te 289, ka 290.

$$15x=290$$

Whakawehea ngā taha e rua ki te 15.

$$x=\frac{290}{15}$$

Whakahekea te hautanga \frac{290}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{58}{3}$$