Whakaoti i te 10left(x+4right)-6left(x+1right)=15left(4-xright)

$$10 \left( x+4 \right) -6 \left( x+1 \right) = 15 \left( 4-x \right)$$

Whakaoti mō x

$$x = \frac{26}{19} = 1\frac{7}{19} \approx 1.368421053$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$10x+40-6\left(x+1\right)=15\left(4-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te x+1.

$$10x+40-6x-6=15\left(4-x\right)$$

Pahekotia te 10x me -6x, ka 4x.

$$4x+40-6=15\left(4-x\right)$$

Tangohia te 6 i te 40, ka 34.

$$4x+34=15\left(4-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15 ki te 4-x.

$$4x+34=60-15x$$

Me tāpiri te 15x ki ngā taha e rua.

$$4x+34+15x=60$$

Pahekotia te 4x me 15x, ka 19x.

$$19x+34=60$$

Tangohia te 34 mai i ngā taha e rua.

$$19x=60-34$$

Tangohia te 34 i te 60, ka 26.

$$19x=26$$

Whakawehea ngā taha e rua ki te 19.

$$x=\frac{26}{19}$$