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a) 2x - 5 = 3 + 2x - 7x
=> 2x - 2x + 7x = 3 +5
=> 7x = 8
=> x = 8/7
b) \(\left(2x-1\right)^2=\left(2x-1\right)^5\)
=> \(\left(2x-1\right)^2-\left(2x-1\right)^5=0\)
=> \(\left(2x-1\right)^2\left[1-\left(2x-1\right)^3\right]=0\)
=> \(\orbr{\begin{cases}\left(2x-1\right)^2=0\\1-\left(2x-1\right)^3=0\end{cases}}\)
=> \(\orbr{\begin{cases}2x-1=0\\\left(2x-1\right)^3=1\end{cases}}\)
=> \(\orbr{\begin{cases}2x=1\\2x-1=1\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{1}{2}\\2x=2\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{1}{2}\\x=1\end{cases}}\)
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\(2x-3+3|x-1|=4x+1.\)
\(\Leftrightarrow3|x-1|=2x+4\)
*Với x < 1 ta có phương trình:
\(3\left(-x+1\right)=2x+4\)
\(\Leftrightarrow-3x+3=2x+4\)
\(\Leftrightarrow5x+1=0\)
\(\Leftrightarrow x=-\frac{1}{5}\)(TM)
*Với \(x\ge1\)ta có phương trình:
\(2x-3+3\left(x-1\right)=4x+1\)
\(\Leftrightarrow2x-3+3x-3=4x+1\)
\(\Leftrightarrow x-7=0\)
\(\Leftrightarrow x=7\)(TM)
Vậy ............
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Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
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7) \(| \frac{1}{4}x - \frac{3}{4}| = \frac{4}{5}x- \frac{2}{5}\)
\(\Rightarrow\orbr{\begin{cases}\frac{1}{4}x-\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\\-\frac{1}{4}x+\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\frac{21}{20}x=\frac{23}{20}\\\frac{11}{20}x=-\frac{7}{20}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{23}{21}\\x=-\frac{7}{11}\end{cases}}\) Vậy: \(x=\frac{23}{21};-\frac{7}{11}\)
8) \(| 2x-1| =x\)
\(\Rightarrow\orbr{\begin{cases}2x-1=x\\-2x+1=x\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=1\\-3x=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{1}{3}\end{cases}}\) Vậy : \(x=1;\frac{1}{3}\)
9)\(| x+ 2| = 2x\)
\(\Rightarrow\orbr{\begin{cases}x+2=2x\\-x-2=2x\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}-x=-2\\-3x=2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-\frac{2}{3}\end{cases}}\) Vậy: \(x=2;-\frac{2}{3}\)
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đây nhé