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a) \(4\left(18-5x\right)-12\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
\(\Rightarrow72-20x-36x-84=30x-240-6x+84\)
\(\Rightarrow\left(72-84\right)-\left(20x+36x\right)=\left(30x-6x\right)-240+84\)
\(\Rightarrow-12-56=24x-56x\)
\(\Rightarrow-12+156=24x+56x\)
\(\Rightarrow144=80x\)
\(\Rightarrow x=144:80\)
\(\Rightarrow x=\frac{9}{5}\)
b) \(5\left(3x+5\right)-4\left(2x-3\right)=5x+3\left(2x+12\right)+1\)
\(\Rightarrow15x+25-8x+12=5x+6x+36+1\)
\(\Rightarrow15x+25-8x+12-5x-6x-36-1=0\)
\(\Rightarrow-4x=0\)
\(\Rightarrow-4.0\)
\(\Rightarrow x=0\)

\(ĐKXĐ:x\ne-1;x\ne\dfrac{1}{2}\)
Ta có : \(\dfrac{6x+5}{3x+3}=\dfrac{5-4x}{1-2x}\)
\(\Leftrightarrow\left(6x+5\right)\left(1-2x\right)=\left(5-4x\right)\left(3x+3\right)\)
\(\Leftrightarrow6x-12x^2+5-10x=15x+15-12x^2-12x\)
\(\Leftrightarrow5-4x-12x^2-15-3x+12x^2=0\)
\(\Leftrightarrow-10-7x=0\)
\(\Rightarrow x=\dfrac{-10}{7}\)
Tim x, bt:
a) 4.(18- 5x) - 12.( 3x-7) =15.(2x-16) - 6.(x+14)
b) 5.(3x+5) - 4.(2x-3) =5x + 3x(2x-12) +1

a) 4.(18- 5x) - 12.( 3x-7) =15.(2x-16) - 6.(x+14)
72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
-20x - 36x - 30x + 6x = -240 - 84 - 72 -84
-80x = -480
x= 6
4.(18 - 5x) - 12.(3x - 7) = 15.(2x - 16) - 6.(x+14)
4.18 - 4.5x - 12.3x + 12.7 = 15.2x - 15.16 - 6x - 6.14
72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
72 + 84 - 20x - 36x = 30x - 6x - 240 - 84
156 - 56x = 24x - 324
156 = 24x - 324 + 56x
156 = 80x - 324
80x - 324 = 156
80x = 156 + 324
80x = 480
x = 480:80
x = 6
câu b giải tương tự

a)
<=> 10x - 35 + 16x - 10 = 5
<=> 10x + 16x = 5 + 35 + 10
<=> 26x = 50
<=> x = 50/26 = 25/13

a, (x-1).(x-2).(x-3)
= (x2 - 2x - x + 2) . (x-3)
= (x2 - 3x + 2). (x-3)4
= x3 - 3x2 - 3x2 + 9x + 2x -6
= x3 - 6x2 + 11x -6
b) (x2 +x+1)(x2-1)(x2-x+1)
= (x4 - x2 + x3 - x+ x2 -1) . (x2 - x +1)
= (x4 + x3 -x -1) . (x2 - x +1)
= x6 - x5 + x4 + x5 - x4 + x3 - x2 + x -1
= x6 + x3 - x2 + x - 1
c) (2x-5)(4-3x)-(3x+11)(5-2x)-15(2x-5)
= (8x - 6x2 - 20 + 15x) - (15x-6x+55-22x) - 30x + 75
= 8x - 6x2 - 20 + 15x - 15x+6x-55+22x - 30x+75
= 6x-6x2 +55
d)(x2-2x+3)(3x-5)-(x2+x-1)(2x+7)
làm tương tự phần C
lưu ý trước dấu ngoặc là dấu trừ, khi phá ngoặc ra phải đổi dấu

a) \(\dfrac{2x+7}{3}+\dfrac{x-2}{4}=-2\)
\(\Leftrightarrow\dfrac{4\left(2x+7\right)}{12}+\dfrac{3\left(x-2\right)}{12}=\dfrac{-24}{12}\)
\(\Leftrightarrow8x+28+3x-6=-24\)
\(\Leftrightarrow11x=-46\)
\(\Leftrightarrow x=\dfrac{-46}{11}\)
Vậy S={-46/11}
b) \(\dfrac{x-1}{4}+\dfrac{2x+1}{3}=x\)
\(\Leftrightarrow\dfrac{3\left(x-1\right)}{12}+\dfrac{4\left(2x+1\right)}{12}=\dfrac{12x}{12}\)
\(\Leftrightarrow3x-3+8x+4=12x\)
\(\Leftrightarrow-x=-1\)
\(\Leftrightarrow x=1\)
Vậy S={1}
c) \(\dfrac{2x-1}{2}+\dfrac{4x+3}{5}=3x\)
\(\Leftrightarrow\dfrac{5\left(2x-1\right)}{10}+\dfrac{2\left(4x+3\right)}{10}=\dfrac{30x}{10}\)
\(\Leftrightarrow10x-5+8x+6=30x\)
\(\Leftrightarrow-12x=-1\)
\(\Leftrightarrow x=\dfrac{1}{12}\)
Vậy S={1/12}
d). \(\dfrac{x+1}{4}+\dfrac{3x-2}{12}=\dfrac{2x+3}{15}\)
\(\Leftrightarrow\dfrac{15\left(x+1\right)}{60}+\dfrac{5\left(3x-2\right)}{60}=\dfrac{4\left(2x+3\right)}{60}\)
\(\Leftrightarrow15x+15+15x-10=8x+12\)
\(\Leftrightarrow22x=7\)
\(\Leftrightarrow x=\dfrac{7}{22}\)
Vậy S={7/22}
một đề xuất PA giải các loại này:
\(\left(a\right)-->\left(\dfrac{2}{3}+\dfrac{1}{4}\right)x+\left(\dfrac{7}{3}-\dfrac{2}{4}\right)=0\)
Với bài này có vẻ (2) PA giống nhau --> PA của mình rất hay khi bài toán có mức độ phức tạp cao hơn

a) ( x + 2 )( 3 - 4x ) = x2 + 4x + 4
<=> ( x + 2 )( 3 - 4x ) = ( x + 2 )2
<=> 3 - 4x = x + 2
<=> -4x - x = 2 - 3
<=> -5x = -1
<=> x = \(\frac{1}{5}\)
b) x(2x - 7) - 4x + 14 = 0
<=> x(2x - 7) = 4x - 14
<=> x(2x - 7) = 2(2x - 7)
<=> x = 2
c) 3x - 15 = 2x(x - 5)
<=> 3(x - 5) = 2x(x - 5)
<=> 3 = 2x
<=> x = \(\frac{3}{2}\)
d) (2x + 1)(3x - 2) = (5x - 8)(2x + 1)
<=> 3x - 2 = 5x - 8
<=> 3x - 5x = -8 + 2
<=> -2x = -6
<=> x = 3
a) \(3x+15=7\)
\(\Rightarrow3x=7-15\)
\(\Rightarrow3x=-8\)
\(\Rightarrow x=-8:3\)
\(\Rightarrow x=\frac{-8}{3}\)
Vậy x = \(\frac{-8}{3}\)
b) \(\left(x-3\right)\left(5-2x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\5-2x=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-3=0\\2x=5\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=\frac{5}{2}\end{cases}}\)
Vậy x = 3 hoặc x = \(\frac{5}{2}\)
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