Whakaoti i te 12x+4/20+8x-6/4-14x+3/5=-2

$$\frac { 12 x + 4 } { 20 } + \frac { 8 x - 6 } { 4 } - \frac { 14 x + 3 } { 5 } = - 2$$

Whakaoti mō x

$$x=\frac{1}{2}=0.5$$

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 20,4,5.

$$12x+4+5\left(8x-6\right)-4\left(14x+3\right)=-40$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 8x-6.

$$12x+4+40x-30-4\left(14x+3\right)=-40$$

Pahekotia te 12x me 40x, ka 52x.

$$52x+4-30-4\left(14x+3\right)=-40$$

Tangohia te 30 i te 4, ka -26.

$$52x-26-4\left(14x+3\right)=-40$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 14x+3.

$$52x-26-56x-12=-40$$

Pahekotia te 52x me -56x, ka -4x.

$$-4x-26-12=-40$$

Tangohia te 12 i te -26, ka -38.

$$-4x-38=-40$$

Me tāpiri te 38 ki ngā taha e rua.

$$-4x=-40+38$$

Tāpirihia te -40 ki te 38, ka -2.

$$-4x=-2$$

Whakawehea ngā taha e rua ki te -4.

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

Whakahekea te hautanga \frac{-2}{-4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{1}{2}$$