Whakaoti i te 7(2-x-4x)-5x+5=12(x+1/6)-2x+4

$$7 ( 2 - x - 4 x ) - 5 x + 5 = 12 ( x + \frac { 1 } { 6 } ) - 2 x + 4$$

Whakaoti mō x

$$x=\frac{13}{50}=0.26$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te -x me -4x, ka -5x.

$$7\left(2-5x\right)-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 2-5x.

$$14-35x-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Pahekotia te -35x me -5x, ka -40x.

$$14-40x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

Tāpirihia te 14 ki te 5, ka 19.

$$19-40x=12\left(x+\frac{1}{6}\right)-2x+4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12 ki te x+\frac{1}{6}.

$$19-40x=12x+12\times \frac{1}{6}-2x+4$$

Whakareatia te 12 ki te \frac{1}{6}, ka \frac{12}{6}.

$$19-40x=12x+\frac{12}{6}-2x+4$$

Whakawehea te 12 ki te 6, kia riro ko 2.

$$19-40x=12x+2-2x+4$$

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

$$19-40x=10x+2+4$$

Tāpirihia te 2 ki te 4, ka 6.

$$19-40x=10x+6$$

Tangohia te 10x mai i ngā taha e rua.

$$19-40x-10x=6$$

Pahekotia te -40x me -10x, ka -50x.

$$19-50x=6$$

Tangohia te 19 mai i ngā taha e rua.

$$-50x=6-19$$

Tangohia te 19 i te 6, ka -13.

$$-50x=-13$$

Whakawehea ngā taha e rua ki te -50.

$$x=\frac{-13}{-50}$$

Ka taea te hautanga \frac{-13}{-50} te whakamāmā ki te \frac{13}{50} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{13}{50}$$