Ta có \(\left|x+2015\right|+\left|x+2016\right|+\left|x+2017\right|\ge0\Rightarrow6x\ge0\Rightarrow x\ge0\)

=> \(\left|x+2015\right|+\left|x+2016\right|+\left|x+2017\right|=3x+6048=6x\Rightarrow3x=6048\Rightarrow x=2016\)

Vậy x=2016

Ta có:

\(\left|x+2015\right|\ge0\)

\(\left|x+2016\right|\ge0\)

\(\left|x+2017\right|\ge0\)

\(\Rightarrow\left|x+2015\right|+\left|x+2016\right|+\left|x+2017\right|\ge0\)

\(\Rightarrow6x\ge0\)

\(\Rightarrow x\ge0\)

\(\Rightarrow\left|x\right|=x\)

\(\Rightarrow\left|x+2015\right|+\left|x+2016\right|+\left|x+2017\right|=\left(x+2015\right)+\left(x+2016\right)+\left(x+2017\right)=6x\)

\(\Rightarrow3x+6048=6x\)

\(\Rightarrow3x=6048\)

\(\Rightarrow x=2016\)

Vậy \(x=2016\)

|x+2015|+|x+2016|+|x+2017| = 6x

<=> \(\left[\begin{array}{nghiempt}x+2015+x+2016+x+2017=6x\\x+2015+x+2016+x+2017=-6x\end{array}\right.\)

<=> \(\left[\begin{array}{nghiempt}3x+6048=6x\\3x+6048=-6x\end{array}\right.\)

<=> \(\left[\begin{array}{nghiempt}3x=6048\\-9x=6048\end{array}\right.\)

<=> \(\left[\begin{array}{nghiempt}x=2016\\x=-672\end{array}\right.\)

trừ mỗi vế cho 2 rồi tách -2 thành -1và -1

X=1 nhé

     \(\frac{x+2014}{2015}+\frac{x+2015}{2016}=\frac{x+2016}{2017}+\frac{x+2017}{2018}\)

\(\Leftrightarrow\)\(\frac{x+2014}{2015}-1+\frac{x+2015}{2016}-1=\frac{x+2016}{2017}-1+\frac{x+2017}{2018}-1\)

\(\Leftrightarrow\)\(\frac{x-1}{2015}+\frac{x-1}{2016}=\frac{x-1}{2017}+\frac{x-1}{2018}\)

\(\Leftrightarrow\)\(\left(x-1\right)\left(\frac{1}{2015}+\frac{1}{2016}-\frac{1}{2017}-\frac{1}{2018}\right)=0\)

\(\Leftrightarrow\)\(x-1=0\)   ( do  1/2015 + 1/2016 - 1/2017 - 1/2018 # 0 )

\(\Leftrightarrow\) \(x=1\)

2016 x 2016 - 2015 x 2017 + x = 2016 

(2016 x 2016) - (2015 x 2017) + x = 2016 

4064256 - 4064255 + x = 2016 

1 + x = 2016 

x = 2016 - 1 

x = 1 

x=2015

Nếu đúng thì k cho mình nhé

2016 x 2016 - 2015 x 2017 + x = 2016

40654256 - 4064255 + x           = 2016

               1              + x           = 2016

                                  x           = 2016 - 1

                                  x            = 2015

Ta có:
x biết: 2016 x 2016 - 2015 x 2017 + x = 2016
x = 2015 x 2017 + 2016 - 2016 x 2016
x = 2015 x 2017 + 2016 x (1 - 2016)
x = 2015 x 2017 - 2015 x 2016
x = 2015 x (2017 - 2016)
x = 2015 x 1
x = 2015

\(\frac{x+2015}{2016}+\frac{x+2016}{2015}+\frac{x+2017}{2014}=-3\)

\(\Leftrightarrow\frac{x+2015}{2016}+1+\frac{x+2016}{2015}+1+\frac{x+2017}{2014}+1=0\)

\(\Leftrightarrow\frac{x+4031}{2016}+\frac{x+4031}{2015}+\frac{x+4031}{2014}=0\)

\(\Leftrightarrow\left(x+4031\right)\left(\frac{1}{2016}+\frac{1}{2015}+\frac{1}{2014}\right)=0\)

Có: \(\frac{1}{2016}+\frac{1}{2015}+\frac{1}{2014}\ne0\)

\(\Rightarrow x+4031=0\)

\(\Rightarrow x=-4031\)