\(2\left(\frac{1}{4}x-3\right)-\frac{5}{6}\left(6x-\frac{3}{5}\right)=-2\)

\(\frac{1}{2}x-6-5x+\frac{1}{2}=-2\)

\(\frac{1}{2}x-5x-6+\frac{1}{2}=-2\)

\(-\frac{9}{2}x-\frac{11}{2}=-2\)

\(-\frac{9}{2}x=\frac{7}{2}\)

\(x=\frac{7}{2}:\left(-\frac{9}{2}\right)\)

\(x=-\frac{7}{9}\)

\(2.\left(\frac{1}{4}.x-3\right)-\frac{5}{6}.\left(6.x-\frac{3}{5}\right)=-2\)

<=>\(\frac{2}{4}.x-6-\frac{30}{6}.x+\frac{15}{30}=-2\)

<=>\(\frac{1}{2}.x-6-5.x+\frac{1}{2}=-2\)

<=>\(-4,5.x=-2-\frac{1}{2}+6\)

<=>\(-4,5.x=\frac{7}{2}\)

bài này mới làm đúng nhé. bài trên mình tính sai ạ.

<=>\(x=\frac{-7}{9}\)

Nhân phân phối -> rút gọn -> chuyển x 1 bên, số 1 bên

\(2.\left(\frac{1}{4}.x-3\right)-\frac{5}{6}.\left(6.x-\frac{3}{5}\right)=-2\)

<=>\(\frac{2}{4}.x-6-\frac{30}{6}.x+\frac{15}{30}=-2\)

<=>\(\frac{1}{2}.x-6-5.x+\frac{1}{2}=-2\)

<=>\(x.\left(\frac{1}{2}-5\right)-\frac{13}{2}=-2\)

<=>\(-4,5.x=-2+\frac{13}{2}\)

<=>\(-4,5x=\frac{9}{2}\)

<=> \(x=-1\)

vậy \(x=-1\)

\(3x^3-\frac{3}{2}x^2-x^3-\frac{1}{2}x+\frac{1}{2}x+2=2x^3-\frac{3}{2}x^2+2\)

\(2x^2-10x-3x-2x^2=26\)

-13x=26

x=-2

a) <=> \(6x^2-5x+3-2x+3x\left(3-2x\right)=0\)

<=> \(6x^2-5x+3-2x+9x-6x^2=0\)

<=> \(2x+3=0\)

<=> \(x=\frac{-3}{2}\)

b) <=> \(10\left(x-4\right)-2\left(3+2x\right)=20x+4\left(1-x\right)\)

<=> \(10x-40-6-4x=20x+4-4x\)

<=> \(6x-46-16x-4=0\)

<=> \(-10x-50=0\)

<=> \(-10\left(x+5\right)=0\)

<=> \(x+5=0\)

<=> \(x=-5\)

c) <=> \(8x+3\left(3x-5\right)=18\left(2x-1\right)-14\)

<=> \(8x+9x-15=36x-18-14\)

<=> \(8x+9x-36x=+15-18-14\)

<=> \(-19x=-14\)

<=> \(x=\frac{14}{19}\)

d) <=>\(2\left(6x+5\right)-10x-3=8x+2\left(2x+1\right)\)

<=> \(12x+10-10x-3=8x+4x+2\)

<=> \(2x-7=12x+2\)

<=> \(2x-12x=7+2\)

<=> \(-10x=9\)

<=> \(x=\frac{-9}{10}\)

e) <=> \(x^2-16-6x+4=\left(x-4\right)^2\)

<=> \(x^2-6x-12-\left(x-4^2\right)=0\)

<=> \(x^2-6x-12-\left(x^2-8x+16\right)=0\)

<=> \(x^2-6x-12-x^2+8x-16=0\)

<=> \(2x-28=0\)

<=> \(2\left(x-14\right)=0\)

<=> x-14=0

<=> x=14

Luffy , cậu sai câu c nhé , kia là -17 ạ => x=17/19

\(\frac{4}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)=\frac{4}{3}.\frac{-1}{3}=\frac{-4}{9}\)

 k nha

\(\frac{-4}{9}\)k mk nha

\(\frac{4}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)\)

\(=\frac{4}{3}.\left(\frac{1}{6}-\frac{3}{6}\right)\)

\(=\frac{4}{3}.\frac{-2}{6}\)

\(=\frac{4}{3}.\frac{-1}{3}\)

\(=\frac{-4}{9}\)