Issolvi 5x+7/4-3x+5/8=4x+9/5-x-9/3

$$\frac{ 5x+7 }{ 4 } - \frac{ 3x+5 }{ 8 } = \frac{ 4x+9 }{ 5 } - \frac{ x-9 }{ 3 }$$

Solvi għal x

$$x=9$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'120, l-inqas denominatur komuni ta' 4,8,5,3.

$$30\left(5x+7\right)-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

Uża l-propjetà distributtiva biex timmultiplika 30 b'5x+7.

$$150x+210-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

Uża l-propjetà distributtiva biex timmultiplika -15 b'3x+5.

$$150x+210-45x-75=24\left(4x+9\right)-40\left(x-9\right)$$

Ikkombina 150x u -45x biex tikseb 105x.

$$105x+210-75=24\left(4x+9\right)-40\left(x-9\right)$$

Naqqas 75 minn 210 biex tikseb 135.

$$105x+135=24\left(4x+9\right)-40\left(x-9\right)$$

Uża l-propjetà distributtiva biex timmultiplika 24 b'4x+9.

$$105x+135=96x+216-40\left(x-9\right)$$

Uża l-propjetà distributtiva biex timmultiplika -40 b'x-9.

$$105x+135=96x+216-40x+360$$

Ikkombina 96x u -40x biex tikseb 56x.

$$105x+135=56x+216+360$$

Żid 216 u 360 biex tikseb 576.

$$105x+135=56x+576$$

Naqqas 56x miż-żewġ naħat.

$$105x+135-56x=576$$

Ikkombina 105x u -56x biex tikseb 49x.

$$49x+135=576$$

Naqqas 135 miż-żewġ naħat.

$$49x=576-135$$

Naqqas 135 minn 576 biex tikseb 441.

$$49x=441$$

Iddividi ż-żewġ naħat b'49.

$$x=\frac{441}{49}$$

Iddividi 441 b'49 biex tikseb9.

$$x=9$$