Issolvi -2(x-3)/9+7/18-x-2/6=x-x-2/3-frac{3(x+1)}{2}

$$- \frac { 2 ( x - 3 ) } { 9 } + \frac { 7 } { 18 } - \frac { x - 2 } { 6 } = x - \frac { x - 2 } { 3 } - \frac { 3 ( x + 1 ) } { 2 }$$

Solvi għal x

$$x=-5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'18, l-inqas denominatur komuni ta' 9,18,6,3,2.

$$-2\times 2\left(x-3\right)+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

Immultiplika -2 u 2 biex tikseb -4.

$$-4\left(x-3\right)+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

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

$$-4x+12+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

Żid 12 u 7 biex tikseb 19.

$$-4x+19-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

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

$$-4x+19-3x+6=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

Ikkombina -4x u -3x biex tikseb -7x.

$$-7x+19+6=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

Żid 19 u 6 biex tikseb 25.

$$-7x+25=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -6 b'x-2.

$$-7x+25=18x-6x+12-9\times 3\left(x+1\right)$$

Ikkombina 18x u -6x biex tikseb 12x.

$$-7x+25=12x+12-9\times 3\left(x+1\right)$$

Immultiplika -9 u 3 biex tikseb -27.

$$-7x+25=12x+12-27\left(x+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -27 b'x+1.

$$-7x+25=12x+12-27x-27$$

Ikkombina 12x u -27x biex tikseb -15x.

$$-7x+25=-15x+12-27$$

Naqqas 27 minn 12 biex tikseb -15.

$$-7x+25=-15x-15$$

Żid 15x maż-żewġ naħat.

$$-7x+25+15x=-15$$

Ikkombina -7x u 15x biex tikseb 8x.

$$8x+25=-15$$

Naqqas 25 miż-żewġ naħat.

$$8x=-15-25$$

Naqqas 25 minn -15 biex tikseb -40.

$$8x=-40$$

Iddividi ż-żewġ naħat b'8.

$$x=\frac{-40}{8}$$

Iddividi -40 b'8 biex tikseb-5.

$$x=-5$$