a,\(\left|2x+1\right|=\frac{3}{5}\)
\(2x+1=+-\frac{3}{5}\)
\(\left[\begin{array}{nghiempt}2x+1=\frac{3}{5}\Rightarrow x=-\frac{1}{5}\\2x+1=-\frac{3}{5}\Rightarrow x=-\frac{4}{5}\end{array}\right.\)
Vậy \(x\in\left\{-\frac{1}{5};-\frac{4}{5}\right\}\)
\(\frac{x+3}{4}=-\frac{7}{2}\)
\(\Leftrightarrow2\left(x+3\right)=4.\left(-7\right)\)
\(2\left(x+3\right)=-28\)
\(\left(x+3\right)=28:2\)
\(x+3=14\\\)
\(\Rightarrow x=14-3\)
\(x=11\)
\(\left(\frac{7}{2}-2x\right).\frac{4}{3}=\frac{22}{3}\)
\(\left(\frac{7}{2}-2x\right)=\frac{22}{3}:\frac{4}{3}\)
\(\left(\frac{7}{2}-2x\right)=\frac{11}{2}\)
\(2x=\frac{7}{2}-\frac{11}{2}\)
\(2x=2\)
\(x=1\)
\(\left(\frac{7}{3}+\frac{7}{2}\right).x=-\frac{25}{6}+\frac{22}{7}\)
\(\frac{35}{6}.x=-\frac{43}{42}\)
\(x=-\frac{43}{42}:\frac{35}{6}\)
\(x=-\frac{43}{245}\)
a.
\(\left|2x+1\right|=\frac{3}{5}\)
\(2x+1=\pm\frac{3}{5}\)
TH1:
\(2x+1=\frac{3}{5}\)
\(2x=\frac{3}{5}-1\)
\(2x=\frac{3-5}{5}\)
\(2x=-\frac{2}{5}\)
\(x=-\frac{2}{5}\div2\)
\(x=-\frac{2}{5}\times\frac{1}{2}\)
\(x=-\frac{1}{5}\)
TH2:
\(2x+1=-\frac{3}{5}\)
\(2x=-\frac{3}{5}-1\)
\(2x=\frac{-3-5}{5}\)
\(2x=-\frac{8}{5}\)
\(x=-\frac{8}{5}\div2\)
\(x=-\frac{8}{5}\times\frac{1}{2}\)
\(x=-\frac{4}{5}\)
Vậy x = -1/5 hoặc x = -4/5.
b.
\(\frac{x+3}{4}=-\frac{7}{2}\)
\(x+3=-\frac{7}{2}\times4\)
\(x+3=-14\)
\(x=-14-3\)
\(x=-17\)
c.
\(\left(\frac{7}{2}-2x\right)\times\frac{4}{3}=\frac{22}{3}\)
\(\left(\frac{7}{2}-2x\right)=\frac{22}{3}\div\frac{4}{3}\)
\(\left(\frac{7}{2}-2x\right)=\frac{22}{3}\times\frac{3}{4}\)
\(\frac{7}{2}-2x=\frac{11}{2}\)
\(2x=\frac{7}{2}-\frac{11}{2}\)
\(2x=-\frac{4}{2}\)
\(x=-2\div2\)
\(x=-1\)
d.
\(\left(\frac{7}{3}+\frac{7}{2}\right)\times x=\frac{-25}{6}+\frac{22}{7}\)
\(\left(\frac{14+21}{6}\right)\times x=-\frac{25}{6}+\frac{22}{7}\)
\(\frac{35}{6}\times x=-\frac{25}{6}+\frac{22}{7}\)
\(x=\left(-\frac{25}{6}+\frac{22}{7}\right)\div\frac{35}{6}\)
\(x=\left(-\frac{25}{6}+\frac{22}{7}\right)\times\frac{6}{35}\)
\(x=-\frac{25}{6}\times\frac{6}{35}+\frac{22}{7}\times\frac{6}{35}\)
\(x=-\frac{5}{7}+\frac{132}{245}\)
\(x=-\frac{43}{245}\)
a. I2x + 1I = 3/5
=> TH1 : 2x + 1 = 3/5
2x = 3/5 - 1
2x = -2/5
x = -2/5 : 2
x = -1/5
=> TH2 2x + 1 = -3/5
=> 2x = -3/5 - 1
=> 2x = -8/5
=> x = -8/5 : 2
=> x = -4/5
b/ x+3/4 = -7/2
=> x + 3/4 = -14/4
=> x + 3 = -14
=> x = -14 - 3
=> x = -17
c. (7/2 - 2x).4/3 = 22/3
7/2 - 2x = 22/3 :4/3
7/2 - 2x = 11/2
2x = 7/2 - 11/2
2x = -2
x = -1
d. (7/3 + 7/2). x = -25/6 + 22/7
35/6.x = -43/42
x = -43/42 : 35/6
x = -43/245