Whakaoti i te 3.4(x-1)-1.2(2x-2)=7(0.5-x)+2(2.25+3x)

$$3.4(x-1)-1.2(2x-2)=7(0.5-x)+2(2.25+3x)$$

Whakaoti mō x

$$x=4.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3.4 ki te x-1.

$$3.4x-3.4-1.2\left(2x-2\right)=7\left(0.5-x\right)+2\left(2.25+3x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -1.2 ki te 2x-2.

$$3.4x-3.4-2.4x+2.4=7\left(0.5-x\right)+2\left(2.25+3x\right)$$

Pahekotia te 3.4x me -2.4x, ka x.

$$x-3.4+2.4=7\left(0.5-x\right)+2\left(2.25+3x\right)$$

Tāpirihia te -3.4 ki te 2.4, ka -1.

$$x-1=7\left(0.5-x\right)+2\left(2.25+3x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 0.5-x.

$$x-1=3.5-7x+2\left(2.25+3x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 2.25+3x.

$$x-1=3.5-7x+4.5+6x$$

Tāpirihia te 3.5 ki te 4.5, ka 8.

$$x-1=8-7x+6x$$

Pahekotia te -7x me 6x, ka -x.

$$x-1=8-x$$

Me tāpiri te x ki ngā taha e rua.

$$x-1+x=8$$

Pahekotia te x me x, ka 2x.

$$2x-1=8$$

Me tāpiri te 1 ki ngā taha e rua.

$$2x=8+1$$

Tāpirihia te 8 ki te 1, ka 9.

$$2x=9$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{9}{2}$$