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

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

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.

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

Ikkombina x u x biex tikseb 2x.

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

Naqqas 7 minn -5 biex tikseb -12.

$$2x-12=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

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

$$2x-12=4x+24-4\left(x+4\right)-2\left(x+6\right)$$

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

$$2x-12=4x+24-4x-16-2\left(x+6\right)$$

Ikkombina 4x u -4x biex tikseb 0.

$$2x-12=24-16-2\left(x+6\right)$$

Naqqas 16 minn 24 biex tikseb 8.

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

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

$$2x-12=8-2x-12$$

Naqqas 12 minn 8 biex tikseb -4.

$$2x-12=-4-2x$$

Żid 2x maż-żewġ naħat.

$$2x-12+2x=-4$$

Ikkombina 2x u 2x biex tikseb 4x.

$$4x-12=-4$$

Żid 12 maż-żewġ naħat.

$$4x=-4+12$$

Żid -4 u 12 biex tikseb 8.

$$4x=8$$

Iddividi ż-żewġ naħat b'4.

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

Iddividi 8 b'4 biex tikseb2.

$$x=2$$