Issolvi x+3/2+x/4+2x+5/6=x+1/4-frac{5}{12}

$$\frac { x + 3 } { 2 } + \frac { x } { 4 } + \frac { 2 x + 5 } { 6 } = \frac { x + 1 } { 4 } - \frac { 5 } { 12 }$$

Solvi għal x

$$x=-3$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 2,4,6,12.

$$6\left(x+3\right)+3x+2\left(2x+5\right)=3\left(x+1\right)-5$$

Uża l-propjetà distributtiva biex timmultiplika 6 b'x+3.

$$6x+18+3x+2\left(2x+5\right)=3\left(x+1\right)-5$$

Ikkombina 6x u 3x biex tikseb 9x.

$$9x+18+2\left(2x+5\right)=3\left(x+1\right)-5$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'2x+5.

$$9x+18+4x+10=3\left(x+1\right)-5$$

Ikkombina 9x u 4x biex tikseb 13x.

$$13x+18+10=3\left(x+1\right)-5$$

Żid 18 u 10 biex tikseb 28.

$$13x+28=3\left(x+1\right)-5$$

Uża l-propjetà distributtiva biex timmultiplika 3 b'x+1.

$$13x+28=3x+3-5$$

Naqqas 5 minn 3 biex tikseb -2.

$$13x+28=3x-2$$

Naqqas 3x miż-żewġ naħat.

$$13x+28-3x=-2$$

Ikkombina 13x u -3x biex tikseb 10x.

$$10x+28=-2$$

Naqqas 28 miż-żewġ naħat.

$$10x=-2-28$$

Naqqas 28 minn -2 biex tikseb -30.

$$10x=-30$$

Iddividi ż-żewġ naħat b'10.

$$x=\frac{-30}{10}$$

Iddividi -30 b'10 biex tikseb-3.

$$x=-3$$