Explanation
[tex]\begin{gathered} 4\left(x+1\right)=−6\left(1−x\right)+8x \\ open\text{ parenthesis} \\ 4x+4=-6+6x+8x \\ 4x+4=14x-6 \\ switch\text{ sides} \\ 14x-6=4x+4 \\ collect\text{ like terms} \\ 14x-4x=6+4 \\ 10x=10 \\ divide\text{ both sides by 10} \\ \frac{10x}{10}=\frac{10}{10} \\ x=1 \end{gathered}[/tex]Answer: x=1