Question

tìm x

a) \(2\left|x-6\right|+7x-2=\left|x-6\right|+7x\)

b) \(4\left(x-5\right)-7\left(5-x\right)+10\left(5-x\right)=-3\)

giúp mình với!!!

Answer 1

a)

\(2\left|x-6\right|+7x-2=\left|x-6\right|+7x\)

\(\Rightarrow2\left|x-6\right|-2-\left|x-6\right|=0\)

\(\Rightarrow\left|x-6\right|=2\)

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

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

b)

\(....\Leftrightarrow4\left(x-5\right)+7\left(x-5\right)-10\left(x-5\right)=-3\)

\(\Rightarrow x-5=-3\)

\(\Rightarrow x=2\)