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1,1/3+1/2:X= -4
1/2:X= -4-1/3
1/2:X= -13/3
X=1/2 : -13/3
X= -3/26
1. 1/3 + 1/2 : x = -4
=> 1/2 : x = -4 - 1/3
1/2 : x = -13/3
=> x = 1/2 : (-13/3)
x = -3/26
2. 3x - 30%.x = -5,4
3x - x = -18
2x = -18
=> x = -18 : 2
x = -9
* \(6x+3-2\left(x-5\right)=30\)
\(\Rightarrow6x+3-2x+10=30\)
\(\Rightarrow4x=17\Leftrightarrow x=\frac{17}{4}\)
* \(8\left(x-\frac{1}{8}\right)-5\left(x-\frac{1}{5}\right)=10\)
\(\Rightarrow3\left(x-\frac{1}{5}\right)=10\)
\(\Rightarrow x-\frac{1}{5}=\frac{10}{3}\)
\(\Rightarrow x=\frac{10}{3}+\frac{1}{5}=\frac{53}{15}\)
* \(13x-5-2\left(x+3\right)=1\)
\(\Rightarrow13x-5-2x-6=1\)
\(\Rightarrow11x=12\Leftrightarrow x=\frac{12}{11}\)
a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)
\(x=\dfrac{13}{52}+\dfrac{8}{52}\)
⇒ \(x=\dfrac{21}{52}\)
b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)
\(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)
\(\dfrac{x}{3}=\dfrac{11}{21}\)
⇒ \(x=\dfrac{11.3}{21}=\dfrac{33}{21}\)
⇒ \(x=\dfrac{11}{7}\)
c) \(\dfrac{-8}{3}+\dfrac{1}{3}< x< \dfrac{-2}{7}+\dfrac{-5}{7}\)
\(\dfrac{-17}{7}< x< -1\)
⇒ \(-17< x< -7\)
⇒ \(x\in\left\{-16;-15,....;-6\right\}\)
d) \(\dfrac{1}{6}+\dfrac{2}{5}\)
\(=\dfrac{5}{30}+\dfrac{12}{30}\)
\(=\dfrac{17}{30}\)
e) \(\dfrac{3}{5}+\dfrac{-7}{4}\)
\(=\dfrac{12}{20}+\dfrac{-35}{20}\)
\(=\dfrac{-23}{20}\)
f) \(\dfrac{4}{13}+\dfrac{-12}{30}\)
\(=\dfrac{4}{13}+\dfrac{-2}{5}\)
\(=\dfrac{20}{65}+\dfrac{-26}{65}\)
\(=\dfrac{-6}{65}\)
g) \(\dfrac{-3}{29}+\dfrac{16}{58}\)
\(=\dfrac{-6}{58}+\dfrac{16}{58}\)
\(=\dfrac{10}{58}\)
h) \(\dfrac{8}{40}+\dfrac{-36}{45}\)
\(=\dfrac{1}{5}+\dfrac{-4}{5}\)
\(=\dfrac{-3}{5}\)
j) \(\dfrac{-8}{18}+\dfrac{15}{27}\)
\(=\dfrac{-2}{9}+\dfrac{5}{9}\)
\(=\dfrac{3}{9}\)
\(=\dfrac{1}{3}\)
a)13-2(x+1)=7
2.(x+1)=13-7
2.(x+1)=6
x+1=6/2
x+1=3
x=3-1
x=2
a, 13 - 2 ( x + 1 ) = 7
2 .( x + 1 ) = 13 - 7
2 .( x + 1 ) = 6
x + 1 = 6 : 2
x + 1 = 3
x = 3 - 1
x = 4
1) -x - 3 = 7
-x = 7 + 3
-x = 10
x = -10
2) x + 5 = -10
x = -10 - 5
x = -15
3) 2x - 7 = 713
2x = 713 + 7
2x = 720
x = 720 : 2
x = 360
4) -129 - (35 - x) = 55
35 - x = -129 - 55
35 - x = -184
x = 35 - (-184)
x = 219
5) 103 - x = 16 - (13 - 8)
103 - x = 16 - 5
103 - x = 11
x = 103 - 11
x = 192
13 - 2(x + 1) = 7
=> 2(x + 1) = 13 - 7 = 6
=> (x + 1) = 6 : 2 = 3
=> x = 2
6x + 23 = 52. 2
=> 6x + 8 = 25. 2
=> 6x + 8 = 50
=> 6x = 50 - 8 = 42
=> x = 7
x + 2 . x + 3x + .... + 9x = 450
x.(1+ 2 + 3 + ... + 9) = 450
x. 45 = 450
=> x = 450 : 45 = 10
1) 13-2(x+1)=7
<=>2(x+1)=6
<=>x+1=3
<=>x=2
2) 6x+23=52.2
<=>6x=42
<=>x=7
3) 420+56.4=(x+175):5+30
<=>644-30=(x+175):5
<=>614x5=x+175
<=>3070-175=x
<=>x=2895
4) x+2x+3x+...+9x=450
<=>x(1+2+3+...+9)=450
<=>45x=450
<=>x=10
2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)
3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)
4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)
5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)
6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)
8)4(x-2)-2(x-1)=12
4x-8-(2x-2)=12
4x-8-2x+2=12
2x-8+2=12
2x=12-2+8
2x=18
x=18/2=9
9)6x-13-2-(x×5)=7
6x-5x=7+13+2
x=22
10)7(x-5)-3(x+5)=30
7x-35-(3x+15)=30
7x-35-3x-15=30
4x=30+35+15
4x=80
x=20
8)4(x-2)-2(x-1)=12
\(\Rightarrow4x-8-2x+2=12\)
\(\Rightarrow2x=18\)
\(=>x=9\)
9)6x-13-2-(x×5)=7
\(\Rightarrow6x-15-\left(x+5\right)=7\)
\(\Rightarrow6x-15-x-5=7\)
\(\Rightarrow5x=27\)
\(\Rightarrow x=\frac{27}{5}\)
10)7(x-5)-3(x+5)=30
\(\Rightarrow7x-35-3x-15=30\)
\(\Rightarrow4x=80\)
\(\Rightarrow x=20\)