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

$$2 \cdot ( 3 x + 4 ) - 2 \cdot ( 5 x + 2 ) = 3 \cdot ( 2 x + 2 ) + 4 \cdot ( 4 x + 4 )$$

Whakaoti mō x

$$x=-\frac{9}{13}\approx -0.692307692$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3x+4.

$$6x+8-2\left(5x+2\right)=3\left(2x+2\right)+4\left(4x+4\right)$$

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

$$6x+8-10x-4=3\left(2x+2\right)+4\left(4x+4\right)$$

Pahekotia te 6x me -10x, ka -4x.

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

Tangohia te 4 i te 8, ka 4.

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

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

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

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

$$-4x+4=6x+6+16x+16$$

Pahekotia te 6x me 16x, ka 22x.

$$-4x+4=22x+6+16$$

Tāpirihia te 6 ki te 16, ka 22.

$$-4x+4=22x+22$$

Tangohia te 22x mai i ngā taha e rua.

$$-4x+4-22x=22$$

Pahekotia te -4x me -22x, ka -26x.

$$-26x+4=22$$

Tangohia te 4 mai i ngā taha e rua.

$$-26x=22-4$$

Tangohia te 4 i te 22, ka 18.

$$-26x=18$$

Whakawehea ngā taha e rua ki te -26.

$$x=\frac{18}{-26}$$

Whakahekea te hautanga \frac{18}{-26} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{9}{13}$$