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1) x - 2 = -6
x = - 6 + 2
x = -4
2) -5x-(-3)=13
-5x+3=13
-5x=13-3=10
x=10:(-5)
x=-2
3) 15-(x-7)=21
15-x+7=21
15-x=21-7=14
x=15-14=1
4) 3x+17=2
3x=2-17=-15
x=-15:3=-5
5) 45-(x-9)=-35
45-x+9=-35
45-x=-35-9=-44
x=45-(-44)=89
6) -5+x=15
x=15-(-5)
x=20
7) 2x-(-17)=15
2x+17=15
2x=15-17=-2
x=-2:2=-1
\(4^{2x-3+7}.4^3=4^{3.23}\)
\(4^{2x-10}.4^3=4^{69}\)
\(4^{2x-10}=4^{69}:4^3\)
\(4^{2x-10}=4^{66}\)
\(\Rightarrow\)\(2x-10=66\)
\(2x=66+10\)
\(2x=76\)
\(\Rightarrow x=76:2\Rightarrow x=38.\)
a.
=> x+2 \(\in\) Ư(3)={-1,-3,1,3}
=> x\(\in\){-3,-5,-1,1}
b.
x+7 chia hết cho x+4
<=> x+4+3 chia hết cho x+4
<=> 3 chia hết cho x+4
=> x+4 \(\in\) Ư(3)={-1,-3,1,3}
=> x \(\in\){-5,-7,-3,-1}
a/ \(\frac{x-1}{9}=\frac{8}{3}\)
\(\Leftrightarrow3\left(x-1\right)=72\)
\(\Leftrightarrow x-1=24\)
\(\Leftrightarrow x=25\)
Vậy ..
b/ \(\frac{-x}{4}=\frac{-9}{x}\)
\(\Leftrightarrow x^2=36\)
\(\Leftrightarrow x^2=6^2=\left(-6\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
Vậy ..
c/ \(\frac{x}{4}=\frac{18}{x+1}\)
\(\Leftrightarrow x\left(x+1\right)=72\)
\(\Leftrightarrow x\left(x+1\right)=8.9\)
\(\Leftrightarrow x=8\)
Vậy ..
\(5x-9=2x+15\)
\(\Leftrightarrow5x-2x=15+9\)
\(\Leftrightarrow3x=24\)
\(\Leftrightarrow x=8\)
\(2\left(x-3\right)-4\left(x+4\right)=3.\left(-7\right)+5\)
\(\Leftrightarrow2x-6-4x-16=-16\)
\(\Leftrightarrow2x-4x-6-16=-16\)
\(\Leftrightarrow-2x=6\)
\(\Leftrightarrow-x=3\)
\(\Leftrightarrow x=-3\)