Issolvi 9x+7/2-(x-x-2/7)=36

$$\frac { 9 x + 7 } { 2 } - ( x - \frac { x - 2 } { 7 } ) = 36$$

Solvi għal x

$$x=9$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'14, l-inqas denominatur komuni ta' 2,7.

$$7\left(9x+7\right)-14\left(x-\frac{x-2}{7}\right)=504$$

Uża l-propjetà distributtiva biex timmultiplika 7 b'9x+7.

$$63x+49-14\left(x-\frac{x-2}{7}\right)=504$$

Iddividi kull terminu ta' x-2 b'7 biex tikseb\frac{1}{7}x-\frac{2}{7}.

$$63x+49-14\left(x-\left(\frac{1}{7}x-\frac{2}{7}\right)\right)=504$$

Biex issib l-oppost ta' \frac{1}{7}x-\frac{2}{7}, sib l-oppost ta' kull terminu.

$$63x+49-14\left(x-\frac{1}{7}x-\left(-\frac{2}{7}\right)\right)=504$$

L-oppost ta' -\frac{2}{7} huwa \frac{2}{7}.

$$63x+49-14\left(x-\frac{1}{7}x+\frac{2}{7}\right)=504$$

Ikkombina x u -\frac{1}{7}x biex tikseb \frac{6}{7}x.

$$63x+49-14\left(\frac{6}{7}x+\frac{2}{7}\right)=504$$

Uża l-propjetà distributtiva biex timmultiplika -14 b'\frac{6}{7}x+\frac{2}{7}.

$$63x+49-14\times \frac{6}{7}x-14\times \frac{2}{7}=504$$

Esprimi -14\times \frac{6}{7} bħala frazzjoni waħda.

$$63x+49+\frac{-14\times 6}{7}x-14\times \frac{2}{7}=504$$

Immultiplika -14 u 6 biex tikseb -84.

$$63x+49+\frac{-84}{7}x-14\times \frac{2}{7}=504$$

Iddividi -84 b'7 biex tikseb-12.

$$63x+49-12x-14\times \frac{2}{7}=504$$

Esprimi -14\times \frac{2}{7} bħala frazzjoni waħda.

$$63x+49-12x+\frac{-14\times 2}{7}=504$$

Immultiplika -14 u 2 biex tikseb -28.

$$63x+49-12x+\frac{-28}{7}=504$$

Iddividi -28 b'7 biex tikseb-4.

$$63x+49-12x-4=504$$

Ikkombina 63x u -12x biex tikseb 51x.

$$51x+49-4=504$$

Naqqas 4 minn 49 biex tikseb 45.

$$51x+45=504$$

Naqqas 45 miż-żewġ naħat.

$$51x=504-45$$

Naqqas 45 minn 504 biex tikseb 459.

$$51x=459$$

Iddividi ż-żewġ naħat b'51.

$$x=\frac{459}{51}$$

Iddividi 459 b'51 biex tikseb9.

$$x=9$$