Question

\(\left |3 x - 2\right | + 5 x = 4 x - 10\)

Answer 1

Ta có: \(\left|3x-2\right|\)= -x-10

-> 3x-2 = -x-10 ->x=-8/3

hoặc 3x-2 = x+10 -> x=8

Answer 2

|3x - 2| + 5x = 4x - 10

=> |3x - 2| + 5x - 4x = -10

=> |3x - 2| + x = -10

=> |3x - 2| = -10 - x

\(\Rightarrow\left[{}\begin{matrix}3x-2=-10-x\\3x-2=-\left(-10-x\right)=10+x\end{matrix}\right.\)

\(\)\(\Rightarrow\left[{}\begin{matrix}3x+x=-10+2=-8\\3x-x=10+2=12\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}4x=-8\\2x=12\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{8}{4}=-2\\x=\dfrac{12}{2}=6\end{matrix}\right.\)

Answer 3

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