Whakaoti i te x-2/3-x-3/4=x-4/5

$$\frac { x - 2 } { 3 } - \frac { x - 3 } { 4 } = \frac { x - 4 } { 5 }$$

Whakaoti mō x

$$x = \frac{53}{7} = 7\frac{4}{7} \approx 7.571428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 60, arā, te tauraro pātahi he tino iti rawa te kitea o 3,4,5.

$$20\left(x-2\right)-15\left(x-3\right)=12\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 20 ki te x-2.

$$20x-40-15\left(x-3\right)=12\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -15 ki te x-3.

$$20x-40-15x+45=12\left(x-4\right)$$

Pahekotia te 20x me -15x, ka 5x.

$$5x-40+45=12\left(x-4\right)$$

Tāpirihia te -40 ki te 45, ka 5.

$$5x+5=12\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12 ki te x-4.

$$5x+5=12x-48$$

Tangohia te 12x mai i ngā taha e rua.

$$5x+5-12x=-48$$

Pahekotia te 5x me -12x, ka -7x.

$$-7x+5=-48$$

Tangohia te 5 mai i ngā taha e rua.

$$-7x=-48-5$$

Tangohia te 5 i te -48, ka -53.

$$-7x=-53$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-53}{-7}$$

Ka taea te hautanga \frac{-53}{-7} te whakamāmā ki te \frac{53}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{53}{7}$$