Whakaoti i te x-4/6+2x+8/2=8+4x-7

$$\frac { x - 4 } { 6 } + \frac { 2 x + 8 } { 2 } = 8 + 4 x - 7$$

Whakaoti mō x

$$x=\frac{14}{17}\approx 0.823529412$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 6,2.

$$x-4+3\left(2x+8\right)=48+24x-42$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x+8.

$$x-4+6x+24=48+24x-42$$

Pahekotia te x me 6x, ka 7x.

$$7x-4+24=48+24x-42$$

Tāpirihia te -4 ki te 24, ka 20.

$$7x+20=48+24x-42$$

Tangohia te 42 i te 48, ka 6.

$$7x+20=6+24x$$

Tangohia te 24x mai i ngā taha e rua.

$$7x+20-24x=6$$

Pahekotia te 7x me -24x, ka -17x.

$$-17x+20=6$$

Tangohia te 20 mai i ngā taha e rua.

$$-17x=6-20$$

Tangohia te 20 i te 6, ka -14.

$$-17x=-14$$

Whakawehea ngā taha e rua ki te -17.

$$x=\frac{-14}{-17}$$

Ka taea te hautanga \frac{-14}{-17} te whakamāmā ki te \frac{14}{17} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{14}{17}$$