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

$$x+4(x-2(x+7))=5(1+2(x-1))$$

Whakaoti mō x

$$x = -\frac{51}{13} = -3\frac{12}{13} \approx -3.923076923$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$x+4\left(x-2x-14\right)=5\left(1+2\left(x-1\right)\right)$$

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

$$x+4\left(-x-14\right)=5\left(1+2\left(x-1\right)\right)$$

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

$$x-4x-56=5\left(1+2\left(x-1\right)\right)$$

Pahekotia te x me -4x, ka -3x.

$$-3x-56=5\left(1+2\left(x-1\right)\right)$$

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

$$-3x-56=5\left(1+2x-2\right)$$

Tangohia te 2 i te 1, ka -1.

$$-3x-56=5\left(-1+2x\right)$$

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

$$-3x-56=-5+10x$$

Tangohia te 10x mai i ngā taha e rua.

$$-3x-56-10x=-5$$

Pahekotia te -3x me -10x, ka -13x.

$$-13x-56=-5$$

Me tāpiri te 56 ki ngā taha e rua.

$$-13x=-5+56$$

Tāpirihia te -5 ki te 56, ka 51.

$$-13x=51$$

Whakawehea ngā taha e rua ki te -13.

$$x=\frac{51}{-13}$$

Ka taea te hautanga \frac{51}{-13} te tuhi anō ko -\frac{51}{13} mā te tango i te tohu tōraro.

$$x=-\frac{51}{13}$$