Whakaoti i te 3+2x/4-x-4/6=5-x/18-1

$$\frac { 3 + 2 x } { 4 } - \frac { x - 4 } { 6 } = \frac { 5 - x } { 18 } - 1$$

Whakaoti mō x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 36, arā, te tauraro pātahi he tino iti rawa te kitea o 4,6,18.

$$9\left(3+2x\right)-6\left(x-4\right)=2\left(5-x\right)-36$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 3+2x.

$$27+18x-6\left(x-4\right)=2\left(5-x\right)-36$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te x-4.

$$27+18x-6x+24=2\left(5-x\right)-36$$

Pahekotia te 18x me -6x, ka 12x.

$$27+12x+24=2\left(5-x\right)-36$$

Tāpirihia te 27 ki te 24, ka 51.

$$51+12x=2\left(5-x\right)-36$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 5-x.

$$51+12x=10-2x-36$$

Tangohia te 36 i te 10, ka -26.

$$51+12x=-26-2x$$

Me tāpiri te 2x ki ngā taha e rua.

$$51+12x+2x=-26$$

Pahekotia te 12x me 2x, ka 14x.

$$51+14x=-26$$

Tangohia te 51 mai i ngā taha e rua.

$$14x=-26-51$$

Tangohia te 51 i te -26, ka -77.

$$14x=-77$$

Whakawehea ngā taha e rua ki te 14.

$$x=\frac{-77}{14}$$

Whakahekea te hautanga \frac{-77}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$x=-\frac{11}{2}$$