Whakaoti i te 2(4x+5)-3(x-6)=5(3x)+2(5x-3)

$$2(4x+5)-3(x-6)=5(3x)+2(5x-3)$$

Whakaoti mō x

$$x = \frac{17}{10} = 1\frac{7}{10} = 1.7$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 4x+5.

$$8x+10-3\left(x-6\right)=5\times 3x+2\left(5x-3\right)$$

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

$$8x+10-3x+18=5\times 3x+2\left(5x-3\right)$$

Pahekotia te 8x me -3x, ka 5x.

$$5x+10+18=5\times 3x+2\left(5x-3\right)$$

Tāpirihia te 10 ki te 18, ka 28.

$$5x+28=5\times 3x+2\left(5x-3\right)$$

Whakareatia te 5 ki te 3, ka 15.

$$5x+28=15x+2\left(5x-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 5x-3.

$$5x+28=15x+10x-6$$

Pahekotia te 15x me 10x, ka 25x.

$$5x+28=25x-6$$

Tangohia te 25x mai i ngā taha e rua.

$$5x+28-25x=-6$$

Pahekotia te 5x me -25x, ka -20x.

$$-20x+28=-6$$

Tangohia te 28 mai i ngā taha e rua.

$$-20x=-6-28$$

Tangohia te 28 i te -6, ka -34.

$$-20x=-34$$

Whakawehea ngā taha e rua ki te -20.

$$x=\frac{-34}{-20}$$

Whakahekea te hautanga \frac{-34}{-20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{17}{10}$$