Issolvi 2(2x+3)/5+4/5x=3(x-2)/2-5x-6/10

$$\frac { 2 ( 2 x + 3 ) } { 5 } + \frac { 4 } { 5 } x = \frac { 3 ( x - 2 ) } { 2 } - \frac { 5 x - 6 } { 10 }$$

Solvi għal x

$$x=-6$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'10, l-inqas denominatur komuni ta' 5,2,10.

$$2\times 2\left(2x+3\right)+8x=5\times 3\left(x-2\right)-\left(5x-6\right)$$

Immultiplika 2 u 2 biex tikseb 4.

$$4\left(2x+3\right)+8x=5\times 3\left(x-2\right)-\left(5x-6\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'2x+3.

$$8x+12+8x=5\times 3\left(x-2\right)-\left(5x-6\right)$$

Ikkombina 8x u 8x biex tikseb 16x.

$$16x+12=5\times 3\left(x-2\right)-\left(5x-6\right)$$

Immultiplika 5 u 3 biex tikseb 15.

$$16x+12=15\left(x-2\right)-\left(5x-6\right)$$

Uża l-propjetà distributtiva biex timmultiplika 15 b'x-2.

$$16x+12=15x-30-\left(5x-6\right)$$

Biex issib l-oppost ta' 5x-6, sib l-oppost ta' kull terminu.

$$16x+12=15x-30-5x-\left(-6\right)$$

L-oppost ta' -6 huwa 6.

$$16x+12=15x-30-5x+6$$

Ikkombina 15x u -5x biex tikseb 10x.

$$16x+12=10x-30+6$$

Żid -30 u 6 biex tikseb -24.

$$16x+12=10x-24$$

Naqqas 10x miż-żewġ naħat.

$$16x+12-10x=-24$$

Ikkombina 16x u -10x biex tikseb 6x.

$$6x+12=-24$$

Naqqas 12 miż-żewġ naħat.

$$6x=-24-12$$

Naqqas 12 minn -24 biex tikseb -36.

$$6x=-36$$

Iddividi ż-żewġ naħat b'6.

$$x=\frac{-36}{6}$$

Iddividi -36 b'6 biex tikseb-6.

$$x=-6$$