Issolvi x-x+2/6+1=2x-1/2-x/3+3(x-1)/2

$$x- \frac{ x+2 }{ 6 } +1= \frac{ 2x-1 }{ 2 } - \frac{ x }{ 3 } + \frac{ 3(x-1) }{ 2 }$$

Solvi għal x

$$x=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'6, l-inqas denominatur komuni ta' 6,2,3.

$$6x-\left(x+2\right)+6=3\left(2x-1\right)-2x+3\times 3\left(x-1\right)$$

Biex issib l-oppost ta' x+2, sib l-oppost ta' kull terminu.

$$6x-x-2+6=3\left(2x-1\right)-2x+3\times 3\left(x-1\right)$$

Ikkombina 6x u -x biex tikseb 5x.

$$5x-2+6=3\left(2x-1\right)-2x+3\times 3\left(x-1\right)$$

Żid -2 u 6 biex tikseb 4.

$$5x+4=3\left(2x-1\right)-2x+3\times 3\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3 b'2x-1.

$$5x+4=6x-3-2x+3\times 3\left(x-1\right)$$

Ikkombina 6x u -2x biex tikseb 4x.

$$5x+4=4x-3+3\times 3\left(x-1\right)$$

Immultiplika 3 u 3 biex tikseb 9.

$$5x+4=4x-3+9\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 9 b'x-1.

$$5x+4=4x-3+9x-9$$

Ikkombina 4x u 9x biex tikseb 13x.

$$5x+4=13x-3-9$$

Naqqas 9 minn -3 biex tikseb -12.

$$5x+4=13x-12$$

Naqqas 13x miż-żewġ naħat.

$$5x+4-13x=-12$$

Ikkombina 5x u -13x biex tikseb -8x.

$$-8x+4=-12$$

Naqqas 4 miż-żewġ naħat.

$$-8x=-12-4$$

Naqqas 4 minn -12 biex tikseb -16.

$$-8x=-16$$

Iddividi ż-żewġ naħat b'-8.

$$x=\frac{-16}{-8}$$

Iddividi -16 b'-8 biex tikseb2.

$$x=2$$