Steps:
The initial expression is:
[tex]25-(3x+5)=2(x+8)+x[/tex]Applying the distributive property:
[tex]\begin{gathered} 25-3x-5=2\cdot x+2\cdot8+x \\ 25-3x-5=2x+16+x \end{gathered}[/tex]Adding like terms:
[tex]20-3x=3x+16[/tex]Subtracting 16 on both sides of the equation:
[tex]\begin{gathered} 20-3x-16=3x+16-16 \\ 4-3x=3x \end{gathered}[/tex]Adding 3x on both sides:
[tex]\begin{gathered} 4-3x+3x=3x+3x \\ 4=6x \end{gathered}[/tex]Dividing by 6:
[tex]\begin{gathered} \frac{4}{6}=\frac{6x}{6} \\ \frac{2}{3}=x \end{gathered}[/tex]Answer: x = 2/3
