Tìm số nguyên x , biết: a)3.(x-4)-2.(x+3)=-18 b)-5.(3-x)-4.(x+8)=19 c)-12.(x-5)+7.(3-x)=5 d)30.(x+2)-6.(x-5)-24.x=100

2 câu trả lời

$a)$ $3.\left(x-4\right)-2.\left(x+3\right)=-18$

$⇒3x-12-2x-6=-18$

$⇒x−18=−18$

$⇒x=-18+18$

$⇒x=0$

$\text{Vậy x = 0}$

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$b)$ $-5.\left(3-x\right)-4.\left(x+8\right)=19$

$⇒−15+5x−4x−32=19$

$⇒-47+x=19$

$⇒x-47=19$

$⇒x=19+47$

$⇒x=66$ 

`Vậy` $x=66$

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$c)$ $-12\left(x-5\right)+7\left(3-x\right)=5$

$⇒-19x+81=5$

$⇒-19x=5-81$

$⇒-19x=-76$

$⇒x=-76:-19$

$⇒x=4$

`Vậy` $x=4$

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$d)$ $30. \left(x+2\right)-6. \left(x-5\right)-24.\:x=100$

$⇒30x+60-6x+30-24x=100$

$⇒60+30=100$

$⇒90=100$

$\text{Vậy không có giá trị x nào.}$

#andy

\[\begin{array}{l}
a)3.\left( {x - 4} \right) - 2.\left( {x + 3} \right) =  - 18\\
 \Leftrightarrow 3x - 12 - 2x - 6 =  - 18\\
 \Leftrightarrow 3x - 2x =  - 18 + 12 + 6\\
 \Leftrightarrow x = 0\\
Vậy\,\,x = 0\\
b) - 5.\left( {3 - x} \right) - 4.\left( {x + 8} \right) = 19\\
 \Leftrightarrow  - 15 + 5x - 4x - 32 = 19\\
 \Leftrightarrow 5x - 4x = 19 + 15 + 32\\
 \Leftrightarrow x = 66\\
Vậy\,\,x = 66\\
c) - 12\left( {x - 5} \right) + 7\left( {3 - x} \right) = 5\\
 \Leftrightarrow  - 12x + 60 + 21 - 7x = 5\\
 \Leftrightarrow  - 12x - 7x = 5 - 60 - 21\\
 \Leftrightarrow  - 19x =  - 76\\
 \Leftrightarrow x = 4\\
Vậy\,\,x = 4\\
d)30.\left( {x + 2} \right) - 6.\left( {x - 5} \right) - 24.\,x = 100\\
 \Leftrightarrow 30x + 60 - 6x + 30 - 24x = 100\\
 \Leftrightarrow 30x - 6x - 24x = 100 - 60 - 30\\
 \Leftrightarrow 0x = 10\,\,\left( {vô\,\,lý} \right)\\
 \Rightarrow \emptyset 
\end{array}\]

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