Issolvi 5(x-1)-(1-x)=2(x-1)-4(1-x)

$$5 ( x - 1 ) - ( 1 - x ) = 2 ( x - 1 ) - 4 ( 1 - x )$$

Solvi għal x (complex solution)

$$x\in \mathrm{C}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 5 b'x-1.

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

Biex issib l-oppost ta' 1-x, sib l-oppost ta' kull terminu.

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

L-oppost ta' -x huwa x.

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

Naqqas 1 minn -5 biex tikseb -6.

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

Ikkombina 5x u x biex tikseb 6x.

$$6x-6=2\left(x-1\right)-4\left(1-x\right)$$

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

$$6x-6=2x-2-4\left(1-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'1-x.

$$6x-6=2x-2-4+4x$$

Naqqas 4 minn -2 biex tikseb -6.

$$6x-6=2x-6+4x$$

Ikkombina 2x u 4x biex tikseb 6x.

$$6x-6=6x-6$$

Naqqas 6x miż-żewġ naħat.

$$6x-6-6x=-6$$

Ikkombina 6x u -6x biex tikseb 0.

$$-6=-6$$

Qabbel -6 u -6.

$$\text{true}$$

Din hija vera għal kwalunkwe x.

$$x\in \mathrm{C}$$

Solvi għal x

$$x\in \mathrm{R}$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika 5 b'x-1.

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

Biex issib l-oppost ta' 1-x, sib l-oppost ta' kull terminu.

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

L-oppost ta' -x huwa x.

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

Naqqas 1 minn -5 biex tikseb -6.

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

Ikkombina 5x u x biex tikseb 6x.

$$6x-6=2\left(x-1\right)-4\left(1-x\right)$$

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

$$6x-6=2x-2-4\left(1-x\right)$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'1-x.

$$6x-6=2x-2-4+4x$$

Naqqas 4 minn -2 biex tikseb -6.

$$6x-6=2x-6+4x$$

Ikkombina 2x u 4x biex tikseb 6x.

$$6x-6=6x-6$$

Naqqas 6x miż-żewġ naħat.

$$6x-6-6x=-6$$

Ikkombina 6x u -6x biex tikseb 0.

$$-6=-6$$

Qabbel -6 u -6.

$$\text{true}$$

Din hija vera għal kwalunkwe x.

$$x\in \mathrm{R}$$