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(3x - 24 ) x 73 = 2 x 76
3x - 16 = 2 x 76 : 73
3x - 16 = 2 x 73
3x - 16 = 686
3x = 686 + 16
3x = 702
x = 702 : 3
x = 234
a, 123 - 5 ( x + 4 ) = 38
=> 5(x+4)=123-38
=> 5(x+4)=85
=> x+4=85:5
=>x+4=17
=>x=17-4
=>x=13
b, ( 3x - 24 ) . 73 = 2 . 74
=> (3x-16).343=4802
=> 3x-16=4802:343
=>3x-16=14
=>3x=14+16
=>3x=30
=>x=30:3
=>x=10
c, 5x+3 - 13 = 112
=> 5x+3=112+13
=>5x+3=125
=> 5x+3=53
=> x+3=3
=>x=3-3
=>x=0
Ta có
42+(3x+7):2=2^5+3^4
<=>42+(3x+7):3=113
<=>(3x+7):2=71
<=>3x+7=71.2
<=>3x+7=142
<=>3x=142-7
<=>3x=135
<=>x=135:3
<=>x=45
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\(3^{x+1}=9^x\)
\(\Leftrightarrow3^{x+1}=3^{2x}\)
\(\Leftrightarrow x+1=2x\)
\(\Leftrightarrow x+1=x+x\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
\(2^{3x+2}=4^{x+5}\)
\(\Leftrightarrow2^{3x+2}=2^{2x+10}\)
\(\Leftrightarrow3x+2=2x+10\)
\(\Leftrightarrow3x=2x+8\)
\(\Leftrightarrow x=8\)
Vậy \(x=8\)
\(2^{x+2}-2^x=96\)
\(\Leftrightarrow2^x.2^2-2^x.1=96\)
\(\Leftrightarrow2^x\left(2^2-1\right)=96\)
\(\Leftrightarrow2^x.3=96\)
\(\Leftrightarrow2^x=\frac{96}{3}\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
a) pt <=> \(\frac{x\left(x+1\right)}{2}=500500\)
<=> \(x^2+x=1001000\)
<=> \(x^2-1000x+1001x-1001000=0\)
<=> \(\left(x-1000\right)\left(x+1001\right)=0\)
<=> \(\orbr{\begin{cases}x=1000\\x=-1001\end{cases}}\)
Do \(x>0\)=> \(x=1000\)
b)
<=> \(2x=210\)
<=> \(x=105\)
c)
<=> \(6x-81=3.7\)
<=> \(x=17\)
d)
<=> \(125-5\left(3x-1\right)=5^2\)
<=> \(5\left(3x-1\right)=100\)
<=> \(3x-1=20\)
<=> \(x=7\)
e)
<=> \(4^{x+1}+1=65\)
<=> \(4^{x+1}=64\)
<=> \(x+1=3\)
<=> \(x=2\)
j)
<=> \(2\left(2x-3\right)=14\)
<=> \(2x-3=7\)
<=> \(x=5\)
1/ 3(x - 2) = 9 => x - 2 = 3 => x = 5
2/ 3(x - 36) = 216 => x - 36 = 72 => x = 108
3/ (x - 3)3 = 33 => x - 3 = 3 => x = 6
4/ 2x = 32 => 2x = 25 => x = 5
5/ 3x - 16 = 2.74 : 73 = 14 => 3x = 30 => x = 10
6/ (6x - 39) : 3 = 201 => 6x - 39 = 603 => 6x = 642 => x = 107
7/ (3x - 15)2 = 81 => (3x - 15)2 = 92 => 3x - 15 = 9 => 3x = 24 => x = 8
8/ 3(x + 4) = 105 => x + 4 = 35 => x = 31
9/ 12x - 43 = 4.84 : 83 = 32 => 12x = 32 : 64 => 12x = 1/2 => x = 1/24
10/ 41 - (2x - 5) = 680 => 2x - 5 = -639 => 2x = -634 => x = - 317
\(\left(3x-2^4\right).7^3=2.7^4\)
\(\left(3x-2^4\right).7^3=4802\)
\(\left(3x-2^4\right)=4802:7^3\)
\(3x-16=14\)
\(3x=14+16\)
\(3x=30\)
\(\Rightarrow x=10\)