Tìm x biết:
\(a,3\dfrac{1}{2}-\dfrac{1}{2}x=\dfrac{2}{3}\)
\(b,\dfrac{1}{3}+\dfrac{2}{3}:x=-7\)
\(c,\dfrac{1}{3}x+\dfrac{2}{5}\left(x-1\right)=0\)
\(d,\left(2x-3\right)\left(6-2x\right)=0\)
\(e,x:\dfrac{3}{4}+\dfrac{1}{4}=-\dfrac{2}{3}\)
\(f,\dfrac{-2}{3}-\dfrac{1}{3}\left(2x-5\right)=\dfrac{3}{2}\)
\(g,2\left|\dfrac{1}{2}x-\dfrac{1}{3}\right|-\dfrac{3}{2}=\dfrac{1}{4}\)
\(h,\dfrac{3}{4}-2.\left|2x-\dfrac{2}{3}\right|=2\)
\(i,\left(-0,6x-\dfrac{1}{2}\right).\dfrac{3}{4}-\left(-1\right)=\dfrac{1}{3}\)
\(j,\left(3x-1\right)\left(-\dfrac{1}{2}x+5\right)=0\)
\(k,\dfrac{1}{4}+\dfrac{1}{3}:\left(2x-1\right)=-5\)
\(l,\left(2x+\dfrac{3}{5}\right)^2-\dfrac{9}{25}=0\)
\(m,3\left(3x-\dfrac{1}{2}\right)^3+\dfrac{1}{9}=0\)
\(n,60\%x+\dfrac{2}{3}x=\dfrac{1}{3}.6\dfrac{1}{3}\)
\(p,-5\left(x+\dfrac{1}{5}\right)-\dfrac{1}{2}\left(x-\dfrac{2}{3}\right)=\dfrac{3}{2}x-\dfrac{5}{6}\)
\(q,3\left(x-\dfrac{1}{2}\right)-5\left(x+\dfrac{3}{5}\right)=-x+\dfrac{1}{5}\)
`#3107.101107`
`3.`
`a,`
`(x + 2,8) \div 5 = 0,3`
\(\Rightarrow x+2,8=0,3\cdot5\)
\(\Rightarrow x+2,8=1,5\)
\(\Rightarrow x=1,5-2,8\)
\(\Rightarrow x=-1,3\)
Vậy, `x = -1,3`
`b,`
\(\left(x+\dfrac{5}{6}\right)\cdot2\dfrac{2}{5}-1\dfrac{1}{4}=35\%\)
\(\Rightarrow\left(x+\dfrac{5}{6}\right)\cdot\dfrac{12}{5}=0,35+\dfrac{5}{4}\)
\(\Rightarrow x+\dfrac{5}{6}=\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{3}-\dfrac{5}{6}\)
\(\Rightarrow x=-\dfrac{1}{6}\)
Vậy, \(x=-\dfrac{1}{6}\)
`c,`
\(\dfrac{1-2x}{2}=\dfrac{-1,5}{3}\\ \Rightarrow\left(1-2x\right)\cdot3=2\cdot\left(-1,5\right)\\ \Rightarrow1-2x=-3\div3\\ \Rightarrow1-2x=-1\\ \Rightarrow2x=1-\left(-1\right)\\ \Rightarrow2x=2\\ \Rightarrow x=1\)
Vậy, `x = 1`
`d,`
`1,4x - x = -8,844`
$\Rightarrow 0,4x = -8,844$
$\Rightarrow x = -8,844 \div 0,4$
$\Rightarrow x = -22,11$
Vậy, `x = -22,11`
`e,`
`x - 5,01 = 7,02 - 2 * 1,5`
$\Rightarrow x - 5,01 = 7,02 - 3$
$\Rightarrow x - 5,01 = 4,02$
$\Rightarrow x = 4,02 + 5,01$
$\Rightarrow x = 9,03$
Vậy, `x = 9,03.`
Lời giải:
a. $(x+2,8):5=0,3$
$x+2,8=0,3.5=1,5$
$x=1,5-2,8=-1,3$
b.
$(x+\frac{5}{6}).2\frac{2}{5}-1\frac{1}{4}=35\text{%}=\frac{7}{20}$
$(x+\frac{5}{6}).\frac{12}{5}-\frac{5}{4}=\frac{7}{20}$
$(x+\frac{5}{6}).\frac{12}{5}=\frac{7}{20}+\frac{5}{4}=\frac{8}{5}$
$x+\frac{5}{6}=\frac{8}{5}: \frac{12}{5}=\frac{2}{3}$
$x=\frac{2}{3}-\frac{5}{6}=\frac{-1}{6}$
c.
$\frac{1-2x}{2}=\frac{-1,5}{3}$
$\frac{1}{2}-x=\frac{-1}{2}$
$x=\frac{1}{2}-\frac{-1}{2}=1$
d.
$1,4x-x=-8,844$
$0,4x=-8,844$
$x=-8,844:0,4=-22,11$
e.
$x-5,01=7,02-2.1,5$
$x-5,01=4,02$
$x=4,02+5,01=9,03$