Whakaoti i te 3(x-1)+2(2x-3)=5(3x-1)

$$3 ( x - 1 ) + 2 ( 2 x - 3 ) = 5 ( 3 x - 1 )$$

Whakaoti mō x

$$x=-\frac{1}{2}=-0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

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

$$3x-3+4x-6=5\left(3x-1\right)$$

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

$$7x-3-6=5\left(3x-1\right)$$

Tangohia te 6 i te -3, ka -9.

$$7x-9=5\left(3x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 3x-1.

$$7x-9=15x-5$$

Tangohia te 15x mai i ngā taha e rua.

$$7x-9-15x=-5$$

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

$$-8x-9=-5$$

Me tāpiri te 9 ki ngā taha e rua.

$$-8x=-5+9$$

Tāpirihia te -5 ki te 9, ka 4.

$$-8x=4$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{4}{-8}$$

Whakahekea te hautanga \frac{4}{-8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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