Whakaoti i te 5(2x-3)-2(4x-7)=4(x+10)

$$5 ( 2 x - 3 ) - 2 ( 4 x - 7 ) = 4 ( x + 10 )$$

Whakaoti mō x

$$x = -\frac{41}{2} = -20\frac{1}{2} = -20.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 2x-3.

$$10x-15-2\left(4x-7\right)=4\left(x+10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 4x-7.

$$10x-15-8x+14=4\left(x+10\right)$$

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

$$2x-15+14=4\left(x+10\right)$$

Tāpirihia te -15 ki te 14, ka -1.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x+10.

$$2x-1=4x+40$$

Tangohia te 4x mai i ngā taha e rua.

$$2x-1-4x=40$$

Pahekotia te 2x me -4x, ka -2x.

$$-2x-1=40$$

Me tāpiri te 1 ki ngā taha e rua.

$$-2x=40+1$$

Tāpirihia te 40 ki te 1, ka 41.

$$-2x=41$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{41}{-2}$$

Ka taea te hautanga \frac{41}{-2} te tuhi anō ko -\frac{41}{2} mā te tango i te tohu tōraro.

$$x=-\frac{41}{2}$$