Given:
There are given the equation:
[tex]2(x+7)-34=4x-11x+4(x-1)[/tex]Explanation:
To solve the above equation, we need to use the above equation:
[tex]\begin{gathered} 2(x+7)-34=4x-11x+4(x-1) \\ 2(x+7)-34=4x-11x+4x-4 \\ 2(x+7)-34=-3x-4 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2(x+7)-34=-3x-4 \\ 2(x+7)-34+3x+4=0 \\ 2x+14-34+3x+4=0 \\ 2x+18-34+3x=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2x+18-34+3x=0 \\ 5x-16=0 \\ 5x=16 \\ x=\frac{16}{5} \end{gathered}[/tex]Final answer:
Hence, the value of x is shown below:
[tex]x=\frac{16}{5}[/tex]