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\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{9}{10}\)
\(\frac{2}{3}.\frac{5}{x}=\frac{2}{7}.\frac{5}{3}+\frac{9}{10}-\frac{5}{7}\)
\(\frac{10}{3}:x=\frac{10}{21}+\frac{9}{10}-\frac{5}{7}=\frac{100+189-150}{210}=\frac{139}{210}\)
\(x=\frac{700}{139}\)
\(\left[12\cdot15-x\right]\cdot\frac{1}{4}=120\cdot\frac{1}{4}\)
\(\Leftrightarrow\left[180-x\right]\cdot\frac{1}{4}=30\)
\(\Leftrightarrow180-x=30:\frac{1}{4}\)
\(\Leftrightarrow180-x=120\)
\(\Leftrightarrow x=60\)
a) (x.7 +8):5=10
x.7 +8= 10.5=50
x.7= 50-8=42
x= 42:7=6
b) 280: (7+3.x)=4
7+3.x= 4.280= 1120
3.x= 1120-7 =1113
x= 1113: 3= 371
c) (x.5) .19:13= 57
(x.5). 19= 57.13= 741
x.5= 741: 19= 39
x= 39:5 =7,8
d) 6.(28-8).x = 72
20.x= 72:6= 12
x= 12: 20= 0,6
e) 4. (36-4.x)= 3,2
36-4.x= 32:4= 0,8
-4.x= 0,8- 36= -35,2
x= -35,2 : -4 = 8,8
f) (x-15).3 :12= 6
(x-15).3 = 6. 12= 72
x-15= 72: 3= 24
x= 24+ 15= 39
g) (x:4+ 6) . 7 = 70
x:4+6= 70:7= 10
x:4= 10-6= 4
x= 4.4 = 16
h) (x:2+50) :5= 12
x:2+ 50= 12.5= 60
x:2= 60-50= 10
x= 10.2=20
l) 5.(7+3.x)= 140
7+3.x= 140:5 = 28
3.x= 28-7 =21
x= 21: 3= 7
k cho mình nhe
1. . 7,2 : 2,4 x X = 4,5
3 x X = 4,5
X = 4,5 : 3
X = 1,5
2. X x 4,8 + 5,2 x X = 160
=> X x ( 5,2 + 4,8 ) = 160
X x 10 = 160
X = 160 : 10
X = 16
3. 9,15 x X + 2,85 x X =48
=> ( 9,15 + 2,85 ) x X = 48
12 x X = 48
X = 48 : 12
X = 4
4. ( X x 3 + 4 ) : 5 = 8
X x 3 + 4 = 8x 5
X x 3 + 4 = 40
X x 3 = 40 - 4
X x 3 = 36
X = 36 : 3
X = 12
5. ( 15 x 28 - x ) : 2/5 = 200 : 0,4
15 x 28 - x = 200 : 0,4 x 2/5
15 x 28 - x = 200
15 x 28 = 200 + x
420 = 200 + x
x = 420 - 200
x = 220
6. 7 x ( 8 + 2 x X ) = 210
8 + 2 x X = 210 : 7
8 + 2x = 30
=> 2x = 30 - 8
2x = 22
x= 22 : 2
x = 11
7. X x 5,6 + 4,4 x X = 130
X x ( 5,6 + 4,4 ) = 130
X x 10 = 130
X = 130 : 10
X = 13
8. ( x - 12 ) x 17 : 11 = 51
x - 12 = 51 x 11 : 17
x - 12 = 33
x = 33 + 12
x = 45
9. 9,15 x X + 2,85 x X = 48
X x ( 9,15 + 2,85 ) = 48
X x 10 = 48
X = 48 : 10
X = 4,8
1 / 5 + x = 3 / 7 + 1 / 3
1 / 5 + x = 16 /21
x = 16 / 21 - 1 / 5
x = 59 / 105
x - 1 / 2 = 2 / 3 - 1 / 5
x - 1 / 2 = 7 / 15
x = 7 / 15 + 1 / 2
x = 29 / 30
3 / 5 * x = 2 / 7+ 1 / 4
3 / 5 * x = 15 / 28
x = 15 / 28 : 3 / 5
x = 25 / 28
7 / 8 : x = 1 / 6 * 2 / 3
7 / 8 : x = 1 / 9
x = 7 / 8 : 1 / 9
x = 63 / 8
Đặt VT=A
\(2A=\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{x\left(x+2\right)}\)
\(2A=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{x}-\frac{1}{x+2}\)
\(A=\left(\frac{1}{5}-\frac{1}{x+2}\right):2\)
Thay A vào VT ta đc:
\(\left(\frac{1}{5}-\frac{1}{x+2}\right):2=\frac{7}{95}\)
\(\frac{1}{5}-\frac{1}{x+2}=\frac{14}{95}\)
\(\frac{1}{x+2}=\frac{1}{19}\)
\(\Rightarrow x+2=19\)
\(\Rightarrow x=17\)
\(\text{Đặt VT=A }\)
\(2A=\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{x\left(x+2\right)}\)
\(2A=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{x}-\frac{1}{x+2}\)
\(A=\left(\frac{1}{5}-\frac{1}{x+2}\right):2\)
\(\text{Thay A vào VT ta đc: }\)
\(\left(\frac{1}{5}-\frac{1}{x+2}\right):2=\frac{7}{95}\)
\(\frac{1}{5}-\frac{1}{x+2}=\frac{14}{95}\)
\(\frac{1}{x+2}=\frac{1}{19}\)
\(\Rightarrow x+2=19\)
\(\Rightarrow x=17\)
\(\left(\frac{3}{5}-x\right)+\frac{13}{20}=\frac{5}{6}\)
\(\frac{3}{5}-x=\frac{5}{6}-\frac{13}{20}\)
\(\frac{3}{5}-x=\frac{11}{60}\)
\(x=\frac{3}{5}-\frac{11}{60}\)
\(x=\frac{5}{12}\)
\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{7}{4}-\frac{1}{2}\)
\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{5}{4}\)
\(x-\frac{1}{2}=\frac{5}{4}:\frac{5}{3}\)
\(x-\frac{1}{2}=\frac{3}{4}\)
\(x=\frac{3}{4}+\frac{1}{2}\)
\(x=\frac{5}{4}\)
( 3/5 - x ) + 13/20 = 5/6
3/5 - x = 5/6 - 13/20
3/5 - x = 89/60
x = 3/5 - 89/60
x = 25/12
( x - 1/2 ) x 5/3 = 7/4 - 1/2
( x - 1/2 ) x 5/3 = 5/4
x - 1/2 = 5/4 : 5/3
x - 1/2 = 35/12
x = 35/12 + 1/2
x = 41/12