Issolvi 20*22%+x=40%(20+x)

$$20 \times 22 \% +x=40 \% (20+x)$$

Solvi għal x

$$x=6$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas il-frazzjoni \frac{22}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$20\times \frac{11}{50}+x=\frac{40}{100}\left(20+x\right)$$

Esprimi 20\times \frac{11}{50} bħala frazzjoni waħda.

$$\frac{20\times 11}{50}+x=\frac{40}{100}\left(20+x\right)$$

Immultiplika 20 u 11 biex tikseb 220.

$$\frac{220}{50}+x=\frac{40}{100}\left(20+x\right)$$

Naqqas il-frazzjoni \frac{220}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 10.

$$\frac{22}{5}+x=\frac{40}{100}\left(20+x\right)$$

Naqqas il-frazzjoni \frac{40}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 20.

$$\frac{22}{5}+x=\frac{2}{5}\left(20+x\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{2}{5} b'20+x.

$$\frac{22}{5}+x=\frac{2}{5}\times 20+\frac{2}{5}x$$

Esprimi \frac{2}{5}\times 20 bħala frazzjoni waħda.

$$\frac{22}{5}+x=\frac{2\times 20}{5}+\frac{2}{5}x$$

Immultiplika 2 u 20 biex tikseb 40.

$$\frac{22}{5}+x=\frac{40}{5}+\frac{2}{5}x$$

Iddividi 40 b'5 biex tikseb8.

$$\frac{22}{5}+x=8+\frac{2}{5}x$$

Naqqas \frac{2}{5}x miż-żewġ naħat.

$$\frac{22}{5}+x-\frac{2}{5}x=8$$

Ikkombina x u -\frac{2}{5}x biex tikseb \frac{3}{5}x.

$$\frac{22}{5}+\frac{3}{5}x=8$$

Naqqas \frac{22}{5} miż-żewġ naħat.

$$\frac{3}{5}x=8-\frac{22}{5}$$

Ikkonverti 8 fi frazzjoni \frac{40}{5}.

$$\frac{3}{5}x=\frac{40}{5}-\frac{22}{5}$$

Billi \frac{40}{5} u \frac{22}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{3}{5}x=\frac{40-22}{5}$$

Naqqas 22 minn 40 biex tikseb 18.

$$\frac{3}{5}x=\frac{18}{5}$$

Immultiplika ż-żewġ naħat b'\frac{5}{3}, ir-reċiproku ta' \frac{3}{5}.

$$x=\frac{18}{5}\times \frac{5}{3}$$

Immultiplika \frac{18}{5} b'\frac{5}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$x=\frac{18\times 5}{5\times 3}$$

Annulla 5 fin-numeratur u d-denominatur.

$$x=\frac{18}{3}$$

Iddividi 18 b'3 biex tikseb6.

$$x=6$$