Issolvi 3x-11/4-3-4x/4=x+6/9

$$\frac { 3 x - 11 } { 4 } - \frac { 3 - 4 x } { 4 } = \frac { x + 6 } { 9 }$$

Solvi għal x

$$x = \frac{150}{59} = 2\frac{32}{59} \approx 2.542372881$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$9\left(3x-11\right)-9\left(3-4x\right)=4\left(x+6\right)$$

Uża l-propjetà distributtiva biex timmultiplika 9 b'3x-11.

$$27x-99-9\left(3-4x\right)=4\left(x+6\right)$$

Uża l-propjetà distributtiva biex timmultiplika -9 b'3-4x.

$$27x-99-27+36x=4\left(x+6\right)$$

Naqqas 27 minn -99 biex tikseb -126.

$$27x-126+36x=4\left(x+6\right)$$

Ikkombina 27x u 36x biex tikseb 63x.

$$63x-126=4\left(x+6\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'x+6.

$$63x-126=4x+24$$

Naqqas 4x miż-żewġ naħat.

$$63x-126-4x=24$$

Ikkombina 63x u -4x biex tikseb 59x.

$$59x-126=24$$

Żid 126 maż-żewġ naħat.

$$59x=24+126$$

Żid 24 u 126 biex tikseb 150.

$$59x=150$$

Iddividi ż-żewġ naħat b'59.

$$x=\frac{150}{59}$$