Issolvi 10x-3/2-8x+3/9+12x+9/36=-81/4

$$\frac { 10 x - 3 } { 2 } - \frac { 8 x + 3 } { 9 } + \frac { 12 x + 9 } { 36 } = - 8 \frac { 1 } { 4 }$$

Solvi għal x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'36, l-inqas denominatur komuni ta' 2,9,36,4.

$$18\left(10x-3\right)-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 18 b'10x-3.

$$180x-54-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'8x+3.

$$180x-54-32x-12+12x+9=-9\left(8\times 4+1\right)$$

Ikkombina 180x u -32x biex tikseb 148x.

$$148x-54-12+12x+9=-9\left(8\times 4+1\right)$$

Naqqas 12 minn -54 biex tikseb -66.

$$148x-66+12x+9=-9\left(8\times 4+1\right)$$

Ikkombina 148x u 12x biex tikseb 160x.

$$160x-66+9=-9\left(8\times 4+1\right)$$

Żid -66 u 9 biex tikseb -57.

$$160x-57=-9\left(8\times 4+1\right)$$

Immultiplika 8 u 4 biex tikseb 32.

$$160x-57=-9\left(32+1\right)$$

Żid 32 u 1 biex tikseb 33.

$$160x-57=-9\times 33$$

Immultiplika -9 u 33 biex tikseb -297.

$$160x-57=-297$$

Żid 57 maż-żewġ naħat.

$$160x=-297+57$$

Żid -297 u 57 biex tikseb -240.

$$160x=-240$$

Iddividi ż-żewġ naħat b'160.

$$x=\frac{-240}{160}$$

Naqqas il-frazzjoni \frac{-240}{160} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 80.

$$x=-\frac{3}{2}$$