Whakaoti i te 5(x+3)+12x=4-7(2-x)

$$5(x+3)+12x=4-7(2-x)$$

Whakaoti mō x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x+3.

$$5x+15+12x=4-7\left(2-x\right)$$

Pahekotia te 5x me 12x, ka 17x.

$$17x+15=4-7\left(2-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te 2-x.

$$17x+15=4-14+7x$$

Tangohia te 14 i te 4, ka -10.

$$17x+15=-10+7x$$

Tangohia te 7x mai i ngā taha e rua.

$$17x+15-7x=-10$$

Pahekotia te 17x me -7x, ka 10x.

$$10x+15=-10$$

Tangohia te 15 mai i ngā taha e rua.

$$10x=-10-15$$

Tangohia te 15 i te -10, ka -25.

$$10x=-25$$

Whakawehea ngā taha e rua ki te 10.

$$x=\frac{-25}{10}$$

Whakahekea te hautanga \frac{-25}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=-\frac{5}{2}$$