Answer:
The solution to the equation is;
[tex]x=2[/tex]Explanation:
Given the equation;
[tex]8(4-x)=7x+2[/tex]To solve, let us expand the bracket and collect the like terms;
[tex]\begin{gathered} 8(4-x)=7x+2 \\ 8(4)-8(x)=7x+2 \\ 32-8x=7x+2 \\ \text{collecting like terms;} \\ 32-2=7x+8x \\ 30=15x \\ \text{divide both sides by 15;} \\ x=\frac{30}{15} \\ x=2 \end{gathered}[/tex]Therefore, the solution to the equation is;
[tex]x=2[/tex]
