Answer:
The value of x is 8
Explanation:
Given the equation:
[tex]3.8x-(-1-9.7x)=2.6+13.3x[/tex]Remove the parentheses
[tex]\begin{gathered} 3.8x+1+9.7x=2.6+13.3x \\ \end{gathered}[/tex]Collect like terms
[tex]\begin{gathered} 3.8x+9.7x+1=2.6+13.3x \\ 13.5x+1=2.6+13.3x \end{gathered}[/tex]Subtract 1 from both sides
[tex]\begin{gathered} 13.5x+1-1=2.6+13.3x-1 \\ 13.5x=1.6+13.3x \end{gathered}[/tex]Subtract 13.3x from both sides
[tex]\begin{gathered} 13.5x-13.3x=1.6+13.3x-13.3x \\ 0.2x=1.6 \end{gathered}[/tex]Divide both sides by 0.2
[tex]\begin{gathered} \frac{0.2x}{0.2}=\frac{1.6}{0.2} \\ \\ x=8 \end{gathered}[/tex]