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

$$2 x - 5 ( x + 3 ) = \frac { 4 } { 7 }$$

Whakaoti mō x

$$x = -\frac{109}{21} = -5\frac{4}{21} \approx -5.19047619$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2x-5x-15=\frac{4}{7}$$

Pahekotia te 2x me -5x, ka -3x.

$$-3x-15=\frac{4}{7}$$

Me tāpiri te 15 ki ngā taha e rua.

$$-3x=\frac{4}{7}+15$$

Me tahuri te 15 ki te hautau \frac{105}{7}.

$$-3x=\frac{4}{7}+\frac{105}{7}$$

Tā te mea he rite te tauraro o \frac{4}{7} me \frac{105}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-3x=\frac{4+105}{7}$$

Tāpirihia te 4 ki te 105, ka 109.

$$-3x=\frac{109}{7}$$

Whakawehea ngā taha e rua ki te -3.

$$x=\frac{\frac{109}{7}}{-3}$$

Tuhia te \frac{\frac{109}{7}}{-3} hei hautanga kotahi.

$$x=\frac{109}{7\left(-3\right)}$$

Whakareatia te 7 ki te -3, ka -21.

$$x=\frac{109}{-21}$$

Ka taea te hautanga \frac{109}{-21} te tuhi anō ko -\frac{109}{21} mā te tango i te tohu tōraro.

$$x=-\frac{109}{21}$$