Issolvi 1.8-8x/1.2-1.3-3x/2=5x-0.4/0.2+2

$$\frac { 1.8 - 8 x } { 1.2 } - \frac { 1.3 - 3 x } { 2 } = \frac { 5 x - 0.4 } { 0.2 } + 2$$

Solvi għal x

$$x=\frac{51}{1810}\approx 0.028176796$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$2\times \frac{1.8-8x}{1.2}-\left(1.3-3x\right)=2\times \frac{5x-0.4}{0.2}+4$$

Biex issib l-oppost ta' 1.3-3x, sib l-oppost ta' kull terminu.

$$2\times \frac{1.8-8x}{1.2}-1.3-\left(-3x\right)=2\times \frac{5x-0.4}{0.2}+4$$

L-oppost ta' -3x huwa 3x.

$$2\times \frac{1.8-8x}{1.2}-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Iddividi kull terminu ta' 1.8-8x b'1.2 biex tikseb\frac{1.8}{1.2}+\frac{-8x}{1.2}.

$$2\left(\frac{1.8}{1.2}+\frac{-8x}{1.2}\right)-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Espandi \frac{1.8}{1.2} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$2\left(\frac{18}{12}+\frac{-8x}{1.2}\right)-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Naqqas il-frazzjoni \frac{18}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$2\left(\frac{3}{2}+\frac{-8x}{1.2}\right)-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Iddividi -8x b'1.2 biex tikseb-\frac{20}{3}x.

$$2\left(\frac{3}{2}-\frac{20}{3}x\right)-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'\frac{3}{2}-\frac{20}{3}x.

$$2\times \frac{3}{2}-\frac{40}{3}x-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Annulla 2 u 2.

$$3-\frac{40}{3}x-1.3+3x=2\times \frac{5x-0.4}{0.2}+4$$

Naqqas 1.3 minn 3 biex tikseb 1.7.

$$1.7-\frac{40}{3}x+3x=2\times \frac{5x-0.4}{0.2}+4$$

Ikkombina -\frac{40}{3}x u 3x biex tikseb -\frac{31}{3}x.

$$1.7-\frac{31}{3}x=2\times \frac{5x-0.4}{0.2}+4$$

Iddividi kull terminu ta' 5x-0.4 b'0.2 biex tikseb\frac{5x}{0.2}+\frac{-0.4}{0.2}.

$$1.7-\frac{31}{3}x=2\left(\frac{5x}{0.2}+\frac{-0.4}{0.2}\right)+4$$

Iddividi 5x b'0.2 biex tikseb25x.

$$1.7-\frac{31}{3}x=2\left(25x+\frac{-0.4}{0.2}\right)+4$$

Espandi \frac{-0.4}{0.2} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10.

$$1.7-\frac{31}{3}x=2\left(25x+\frac{-4}{2}\right)+4$$

Iddividi -4 b'2 biex tikseb-2.

$$1.7-\frac{31}{3}x=2\left(25x-2\right)+4$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'25x-2.

$$1.7-\frac{31}{3}x=50x-4+4$$

Żid -4 u 4 biex tikseb 0.

$$1.7-\frac{31}{3}x=50x$$

Naqqas 50x miż-żewġ naħat.

$$1.7-\frac{31}{3}x-50x=0$$

Ikkombina -\frac{31}{3}x u -50x biex tikseb -\frac{181}{3}x.

$$1.7-\frac{181}{3}x=0$$

Naqqas 1.7 miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-\frac{181}{3}x=-1.7$$

Iddividi ż-żewġ naħat b'-\frac{181}{3}.

$$x=\frac{-1.7}{-\frac{181}{3}}$$