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a, \(\dfrac{7}{18}x-\dfrac{2}{3}=\dfrac{5}{18}\)
\(\dfrac{7}{18}x=\dfrac{5}{18}+\dfrac{2}{3}\)
\(\dfrac{7}{18}x=\dfrac{17}{18}\)
\(x=\dfrac{17}{18}\div\dfrac{7}{18}\)
\(x=\dfrac{17}{7}\)
a) \(\dfrac{7}{18}\).x-\(\dfrac{2}{3}\)=\(\dfrac{5}{18}\)
\(\dfrac{7}{18}\).x =\(\dfrac{5}{18}\)+\(\dfrac{2}{3}\)
\(\dfrac{7}{18}\).x = \(\dfrac{17}{18}\)
x = \(\dfrac{17}{18}\) :\(\dfrac{7}{18}\)
x =\(\dfrac{17}{7}\)
b)\(\dfrac{4}{9}\) - \(\dfrac{7}{8}\).x =\(\dfrac{-2}{3}\)
\(\dfrac{7}{8}\).x =\(\dfrac{4}{9}\)-\(\dfrac{-2}{3}\)
\(\dfrac{7}{8}\).x =\(\dfrac{10}{9}\)
x =\(\dfrac{10}{9}\) : \(\dfrac{7}{8}\)
x =\(\dfrac{80}{63}\)
c)\(\dfrac{1}{6}\)+\(\dfrac{-5}{7}\): \(\dfrac{-7}{18}\)
\(\dfrac{1}{6}\)+\(\dfrac{90}{49}\)
\(\dfrac{589}{294}\)

Lời giải:
a.
$4(2x-4)+2=18$
$4(2x-4)=16$
$2x-4=16:4=4$
$2x=4+4=8$
$x=8:2$
$x=4$
b.
\(5^3+(18x-65).3=26^2+10\)
$125+3(18x-65)=686$
$3(18x-65)=686-125=561$
$18x-65=561:3=187$
$18x=187+65$
$18x=252$
$x=252:18=14$
c.
\(|x-10|+2^2.5=5^5\)
$|x-10|+20=3125$
$|x-10|=3125-20=3105$
$\Rightarrow x-10=3105$ hoặc $x-10=-3105$
$\Rightarrow x=3115$ hoặc $x=-3095$
d.
\((x-2)^2-2^3.5=104\)
$(x-2)^2-40=104$
$(x-2)^2=104+40=144=12^2=(-12)^2$
$\Rightarrow x-2=12$ hoặc $x-2=-12$
$\Rightarrow x=14$ hoặc $x=-10$

32x + 3x + 3 = 759
3x.3x + 3x + 3 = 759
3x.3x + 3x = 759 - 3
3x.3x + 3x = 756
3x(3x + 1) = 756
3x(3x + 1) = 27.28
=> 3x = 27
3x = 33
=> x = 3

a) x= 1/4
b) x= -7/144
c) x= 25/6
d) x=17/7
e) x= 80/63
f) x= -45/14

(8 x 18 -5 x 18 -18 x3) x y + 2 x y =8 x 7 + 2
<=>144 x y -90 x y -54 x y + 2 x y = 58
<=>2 x y = 58
<=> y = 29
vậy y = 29
( mình ko chép lại đề bài đâu nha ,giải lun đó)
[18x(8-5-3)]xy+2xy=56+2
(18x0)xy+2xy=58
0xy+2xy=58
2xy=58
y=58:2=29
tick cho mình nha
(X.3+5)^2=18
-> 3X+5= 3 . √2
X= √2- 5/3
sai rồi bạn
Sửa đề : \(\left(3x+5\right)^2=16\)
TH1 : \(3x+5=4\Leftrightarrow x=-\frac{1}{3}\)
TH2 : \(3x+5=-4\Leftrightarrow x=-3\)