Whakaoti i te 3x+7/4-2=4x-8/5+1

$$\frac { 3 x + 7 } { 4 } - 2 = \frac { 4 x - 8 } { 5 } + 1$$

Whakaoti mō x

$$x=7$$

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 4,5.

$$5\left(3x+7\right)-40=4\left(4x-8\right)+20$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 3x+7.

$$15x+35-40=4\left(4x-8\right)+20$$

Tangohia te 40 i te 35, ka -5.

$$15x-5=4\left(4x-8\right)+20$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4x-8.

$$15x-5=16x-32+20$$

Tāpirihia te -32 ki te 20, ka -12.

$$15x-5=16x-12$$

Tangohia te 16x mai i ngā taha e rua.

$$15x-5-16x=-12$$

Pahekotia te 15x me -16x, ka -x.

$$-x-5=-12$$

Me tāpiri te 5 ki ngā taha e rua.

$$-x=-12+5$$

Tāpirihia te -12 ki te 5, ka -7.

$$-x=-7$$

Me whakarea ngā taha e rua ki te -1.

$$x=7$$