Issolvi 5x/3-x-2/4=9/4-1/2(x-frac{2x-1}{3})

$$\frac{ 5x }{ 3 } - \frac{ x-2 }{ 4 } = \frac{ 9 }{ 4 } - \frac{ 1 }{ 2 } (x- \frac{ 2x-1 }{ 3 } )$$

Solvi għal x

$$x=1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 3,4,2.

$$4\times 5x-3\left(x-2\right)=27-6\left(x-\frac{2x-1}{3}\right)$$

Immultiplika 4 u 5 biex tikseb 20.

$$20x-3\left(x-2\right)=27-6\left(x-\frac{2x-1}{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika -3 b'x-2.

$$20x-3x+6=27-6\left(x-\frac{2x-1}{3}\right)$$

Ikkombina 20x u -3x biex tikseb 17x.

$$17x+6=27-6\left(x-\frac{2x-1}{3}\right)$$

Iddividi kull terminu ta' 2x-1 b'3 biex tikseb\frac{2}{3}x-\frac{1}{3}.

$$17x+6=27-6\left(x-\left(\frac{2}{3}x-\frac{1}{3}\right)\right)$$

Biex issib l-oppost ta' \frac{2}{3}x-\frac{1}{3}, sib l-oppost ta' kull terminu.

$$17x+6=27-6\left(x-\frac{2}{3}x-\left(-\frac{1}{3}\right)\right)$$

L-oppost ta' -\frac{1}{3} huwa \frac{1}{3}.

$$17x+6=27-6\left(x-\frac{2}{3}x+\frac{1}{3}\right)$$

Ikkombina x u -\frac{2}{3}x biex tikseb \frac{1}{3}x.

$$17x+6=27-6\left(\frac{1}{3}x+\frac{1}{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'\frac{1}{3}x+\frac{1}{3}.

$$17x+6=27-6\times \frac{1}{3}x-6\times \frac{1}{3}$$

Immultiplika -6 u \frac{1}{3} biex tikseb \frac{-6}{3}.

$$17x+6=27+\frac{-6}{3}x-6\times \frac{1}{3}$$

Iddividi -6 b'3 biex tikseb-2.

$$17x+6=27-2x-6\times \frac{1}{3}$$

Immultiplika -6 u \frac{1}{3} biex tikseb \frac{-6}{3}.

$$17x+6=27-2x+\frac{-6}{3}$$

Iddividi -6 b'3 biex tikseb-2.

$$17x+6=27-2x-2$$

Naqqas 2 minn 27 biex tikseb 25.

$$17x+6=25-2x$$

Żid 2x maż-żewġ naħat.

$$17x+6+2x=25$$

Ikkombina 17x u 2x biex tikseb 19x.

$$19x+6=25$$

Naqqas 6 miż-żewġ naħat.

$$19x=25-6$$

Naqqas 6 minn 25 biex tikseb 19.

$$19x=19$$

Iddividi ż-żewġ naħat b'19.

$$x=\frac{19}{19}$$

Iddividi 19 b'19 biex tikseb1.

$$x=1$$