Issolvi 3x-2/2+3(2x-1)=x+4/7-(x-1)

$$\frac { 3 x - 2 } { 2 } + 3 ( 2 x - 1 ) = \frac { x + 4 } { 7 } - ( x - 1 )$$

Solvi għal x

$$x=\frac{2}{3}\approx 0.666666667$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'14, l-inqas denominatur komuni ta' 2,7.

$$7\left(3x-2\right)+42\left(2x-1\right)=2\left(x+4\right)-14\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 7 b'3x-2.

$$21x-14+42\left(2x-1\right)=2\left(x+4\right)-14\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 42 b'2x-1.

$$21x-14+84x-42=2\left(x+4\right)-14\left(x-1\right)$$

Ikkombina 21x u 84x biex tikseb 105x.

$$105x-14-42=2\left(x+4\right)-14\left(x-1\right)$$

Naqqas 42 minn -14 biex tikseb -56.

$$105x-56=2\left(x+4\right)-14\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'x+4.

$$105x-56=2x+8-14\left(x-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika -14 b'x-1.

$$105x-56=2x+8-14x+14$$

Ikkombina 2x u -14x biex tikseb -12x.

$$105x-56=-12x+8+14$$

Żid 8 u 14 biex tikseb 22.

$$105x-56=-12x+22$$

Żid 12x maż-żewġ naħat.

$$105x-56+12x=22$$

Ikkombina 105x u 12x biex tikseb 117x.

$$117x-56=22$$

Żid 56 maż-żewġ naħat.

$$117x=22+56$$

Żid 22 u 56 biex tikseb 78.

$$117x=78$$

Iddividi ż-żewġ naħat b'117.

$$x=\frac{78}{117}$$

Naqqas il-frazzjoni \frac{78}{117} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 39.

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