Whakaoti i te 4-x/3=x-3/5-1

$$\frac { 4 - x } { 3 } = \frac { x - 3 } { 5 } - 1$$

Whakaoti mō x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 15, arā, te tauraro pātahi he tino iti rawa te kitea o 3,5.

$$5\left(4-x\right)=3\left(x-3\right)-15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 4-x.

$$20-5x=3\left(x-3\right)-15$$

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

$$20-5x=3x-9-15$$

Tangohia te 15 i te -9, ka -24.

$$20-5x=3x-24$$

Tangohia te 3x mai i ngā taha e rua.

$$20-5x-3x=-24$$

Pahekotia te -5x me -3x, ka -8x.

$$20-8x=-24$$

Tangohia te 20 mai i ngā taha e rua.

$$-8x=-24-20$$

Tangohia te 20 i te -24, ka -44.

$$-8x=-44$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{-44}{-8}$$

Whakahekea te hautanga \frac{-44}{-8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x=\frac{11}{2}$$