Issolvi 3(1-x)+2x=2/5(-2x+4/10)

$$3(1-x)+2x= \frac{ 2 }{ 5 } (-2x+ \frac{ 4 }{ 10 } )$$

Solvi għal x

$$x = \frac{71}{5} = 14\frac{1}{5} = 14.2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$3-3x+2x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

Ikkombina -3x u 2x biex tikseb -x.

$$3-x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

Naqqas il-frazzjoni \frac{4}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$3-x=\frac{2}{5}\left(-2x+\frac{2}{5}\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{2}{5} b'-2x+\frac{2}{5}.

$$3-x=\frac{2}{5}\left(-2\right)x+\frac{2}{5}\times \frac{2}{5}$$

Esprimi \frac{2}{5}\left(-2\right) bħala frazzjoni waħda.

$$3-x=\frac{2\left(-2\right)}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Immultiplika 2 u -2 biex tikseb -4.

$$3-x=\frac{-4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Frazzjoni \frac{-4}{5} tista' tinkiteb mill-ġdid bħala -\frac{4}{5} bl-estrazzjoni tas-sinjal negattiv.

$$3-x=-\frac{4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Immultiplika \frac{2}{5} b'\frac{2}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$3-x=-\frac{4}{5}x+\frac{2\times 2}{5\times 5}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2\times 2}{5\times 5}.

$$3-x=-\frac{4}{5}x+\frac{4}{25}$$

Żid \frac{4}{5}x maż-żewġ naħat.

$$3-x+\frac{4}{5}x=\frac{4}{25}$$

Ikkombina -x u \frac{4}{5}x biex tikseb -\frac{1}{5}x.

$$3-\frac{1}{5}x=\frac{4}{25}$$

Naqqas 3 miż-żewġ naħat.

$$-\frac{1}{5}x=\frac{4}{25}-3$$

Ikkonverti 3 fi frazzjoni \frac{75}{25}.

$$-\frac{1}{5}x=\frac{4}{25}-\frac{75}{25}$$

Billi \frac{4}{25} u \frac{75}{25} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{1}{5}x=\frac{4-75}{25}$$

Naqqas 75 minn 4 biex tikseb -71.

$$-\frac{1}{5}x=-\frac{71}{25}$$

Immultiplika ż-żewġ naħat b'-5, ir-reċiproku ta' -\frac{1}{5}.

$$x=-\frac{71}{25}\left(-5\right)$$

Esprimi -\frac{71}{25}\left(-5\right) bħala frazzjoni waħda.

$$x=\frac{-71\left(-5\right)}{25}$$

Immultiplika -71 u -5 biex tikseb 355.

$$x=\frac{355}{25}$$

Naqqas il-frazzjoni \frac{355}{25} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$x=\frac{71}{5}$$