Whakaoti i te 1/2+7x-3/2-4x=-1+6+4x+10

$$\frac { 1 } { 2 } + 7 x - \frac { 3 } { 2 } - 4 x = - 1 + 6 + 4 x + 10$$

Whakaoti mō x

$$x=-16$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-3}{2}+7x-4x=-1+6+4x+10$$

Tangohia te 3 i te 1, ka -2.

$$\frac{-2}{2}+7x-4x=-1+6+4x+10$$

Whakawehea te -2 ki te 2, kia riro ko -1.

$$-1+7x-4x=-1+6+4x+10$$

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

$$-1+3x=-1+6+4x+10$$

Tāpirihia te -1 ki te 6, ka 5.

$$-1+3x=5+4x+10$$

Tāpirihia te 5 ki te 10, ka 15.

$$-1+3x=15+4x$$

Tangohia te 4x mai i ngā taha e rua.

$$-1+3x-4x=15$$

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

$$-1-x=15$$

Me tāpiri te 1 ki ngā taha e rua.

$$-x=15+1$$

Tāpirihia te 15 ki te 1, ka 16.

$$-x=16$$

Me whakarea ngā taha e rua ki te -1.

$$x=-16$$