Issolvi x-5/8+x+4/2=x+6/2-x-7/8-frac{x+6}{4}

$$\frac { x - 5 } { 8 } + \frac { x + 4 } { 2 } = \frac { x + 6 } { 2 } - \frac { x - 7 } { 8 } - \frac { x + 6 } { 4 }$$

Solvi għal x

$$x=2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'8, l-inqas denominatur komuni ta' 8,2,4.

$$x-5+4\left(x+4\right)=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

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

$$x-5+4x+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

Ikkombina x u 4x biex tikseb 5x.

$$5x-5+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

Żid -5 u 16 biex tikseb 11.

$$5x+11=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

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

$$5x+11=4x+24-\left(x-7\right)-2\left(x+6\right)$$

Biex issib l-oppost ta' x-7, sib l-oppost ta' kull terminu.

$$5x+11=4x+24-x-\left(-7\right)-2\left(x+6\right)$$

L-oppost ta' -7 huwa 7.

$$5x+11=4x+24-x+7-2\left(x+6\right)$$

Ikkombina 4x u -x biex tikseb 3x.

$$5x+11=3x+24+7-2\left(x+6\right)$$

Żid 24 u 7 biex tikseb 31.

$$5x+11=3x+31-2\left(x+6\right)$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'x+6.

$$5x+11=3x+31-2x-12$$

Ikkombina 3x u -2x biex tikseb x.

$$5x+11=x+31-12$$

Naqqas 12 minn 31 biex tikseb 19.

$$5x+11=x+19$$

Naqqas x miż-żewġ naħat.

$$5x+11-x=19$$

Ikkombina 5x u -x biex tikseb 4x.

$$4x+11=19$$

Naqqas 11 miż-żewġ naħat.

$$4x=19-11$$

Naqqas 11 minn 19 biex tikseb 8.

$$4x=8$$

Iddividi ż-żewġ naħat b'4.

$$x=\frac{8}{4}$$

Iddividi 8 b'4 biex tikseb2.

$$x=2$$