Issolvi 2(t+3)+3(t-4)=3(t-9)-7(6+t)

$$2 ( t + 3 ) + 3 ( t - 4 ) = 3 ( t - 9 ) - 7 ( 6 + t )$$

Solvi għal t

$$t=-7$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2 b't+3.

$$2t+6+3\left(t-4\right)=3\left(t-9\right)-7\left(6+t\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3 b't-4.

$$2t+6+3t-12=3\left(t-9\right)-7\left(6+t\right)$$

Ikkombina 2t u 3t biex tikseb 5t.

$$5t+6-12=3\left(t-9\right)-7\left(6+t\right)$$

Naqqas 12 minn 6 biex tikseb -6.

$$5t-6=3\left(t-9\right)-7\left(6+t\right)$$

Uża l-propjetà distributtiva biex timmultiplika 3 b't-9.

$$5t-6=3t-27-7\left(6+t\right)$$

Uża l-propjetà distributtiva biex timmultiplika -7 b'6+t.

$$5t-6=3t-27-42-7t$$

Naqqas 42 minn -27 biex tikseb -69.

$$5t-6=3t-69-7t$$

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

$$5t-6=-4t-69$$

Żid 4t maż-żewġ naħat.

$$5t-6+4t=-69$$

Ikkombina 5t u 4t biex tikseb 9t.

$$9t-6=-69$$

Żid 6 maż-żewġ naħat.

$$9t=-69+6$$

Żid -69 u 6 biex tikseb -63.

$$9t=-63$$

Iddividi ż-żewġ naħat b'9.

$$t=\frac{-63}{9}$$

Iddividi -63 b'9 biex tikseb-7.

$$t=-7$$