Whakaoti i te 5(x+3)-3=8(x+1)+2

$$5 ( x + 3 ) - 3 = 8 ( x + 1 ) + 2$$

Whakaoti mō x

$$x=\frac{2}{3}\approx 0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$5x+15-3=8\left(x+1\right)+2$$

Tangohia te 3 i te 15, ka 12.

$$5x+12=8\left(x+1\right)+2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te x+1.

$$5x+12=8x+8+2$$

Tāpirihia te 8 ki te 2, ka 10.

$$5x+12=8x+10$$

Tangohia te 8x mai i ngā taha e rua.

$$5x+12-8x=10$$

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

$$-3x+12=10$$

Tangohia te 12 mai i ngā taha e rua.

$$-3x=10-12$$

Tangohia te 12 i te 10, ka -2.

$$-3x=-2$$

Whakawehea ngā taha e rua ki te -3.

$$x=\frac{-2}{-3}$$

Ka taea te hautanga \frac{-2}{-3} te whakamāmā ki te \frac{2}{3} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{2}{3}$$