Whakaoti i te (2)2x+1/4-1=x-10x+1/12

$$( 2 ) \frac { 2 x + 1 } { 4 } - 1 = x - \frac { 10 x + 1 } { 12 }$$

Whakaoti mō x

$$x=\frac{1}{2}=0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 4,12.

$$6\left(2x+1\right)-12=12x-\left(10x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 2x+1.

$$12x+6-12=12x-\left(10x+1\right)$$

Tangohia te 12 i te 6, ka -6.

$$12x-6=12x-\left(10x+1\right)$$

Hei kimi i te tauaro o 10x+1, kimihia te tauaro o ia taurangi.

$$12x-6=12x-10x-1$$

Pahekotia te 12x me -10x, ka 2x.

$$12x-6=2x-1$$

Tangohia te 2x mai i ngā taha e rua.

$$12x-6-2x=-1$$

Pahekotia te 12x me -2x, ka 10x.

$$10x-6=-1$$

Me tāpiri te 6 ki ngā taha e rua.

$$10x=-1+6$$

Tāpirihia te -1 ki te 6, ka 5.

$$10x=5$$

Whakawehea ngā taha e rua ki te 10.

$$x=\frac{5}{10}$$

Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{1}{2}$$