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

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

Whakaoti mō x

$$x=-\frac{9}{28}\approx -0.321428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 2,4,5.

$$10\left(3x+2\right)-20=5\left(2x-1\right)-4\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te 3x+2.

$$30x+20-20=5\left(2x-1\right)-4\left(2x+1\right)$$

Tangohia te 20 i te 20, ka 0.

$$30x=5\left(2x-1\right)-4\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 2x-1.

$$30x=10x-5-4\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 2x+1.

$$30x=10x-5-8x-4$$

Pahekotia te 10x me -8x, ka 2x.

$$30x=2x-5-4$$

Tangohia te 4 i te -5, ka -9.

$$30x=2x-9$$

Tangohia te 2x mai i ngā taha e rua.

$$30x-2x=-9$$

Pahekotia te 30x me -2x, ka 28x.

$$28x=-9$$

Whakawehea ngā taha e rua ki te 28.

$$x=\frac{-9}{28}$$

Ka taea te hautanga \frac{-9}{28} te tuhi anō ko -\frac{9}{28} mā te tango i te tohu tōraro.

$$x=-\frac{9}{28}$$