Whakaoti i te 5(x+1)/2-2-3x/3=37/3

$$\frac { 5 ( x + 1 ) } { 2 } - \frac { 2 - 3 x } { 3 } = \frac { 37 } { 3 }$$

Whakaoti mō x

$$x=3$$

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 2,3.

$$3\times 5\left(x+1\right)-2\left(2-3x\right)=74$$

Whakareatia te 3 ki te 5, ka 15.

$$15\left(x+1\right)-2\left(2-3x\right)=74$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15 ki te x+1.

$$15x+15-2\left(2-3x\right)=74$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 2-3x.

$$15x+15-4+6x=74$$

Tangohia te 4 i te 15, ka 11.

$$15x+11+6x=74$$

Pahekotia te 15x me 6x, ka 21x.

$$21x+11=74$$

Tangohia te 11 mai i ngā taha e rua.

$$21x=74-11$$

Tangohia te 11 i te 74, ka 63.

$$21x=63$$

Whakawehea ngā taha e rua ki te 21.

$$x=\frac{63}{21}$$

Whakawehea te 63 ki te 21, kia riro ko 3.

$$x=3$$