Answer:
Explanation:
[tex]3(x+8)=5(x-3)\\\\\mathrm{Expand\:}3\left(x+8\right):\quad 3x+24\\\\\mathrm{Expand\:}5\left(x-3\right):\quad 5x-15\\\\3x+24=5x-15\\\\\mathrm{Subtract\:}24\mathrm{\:from\:both\:sides}\\\\3x+24-24=5x-15-24\\\\\mathrm{Simplify}\\\\3x=5x-39\\\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\\\3x-5x=5x-39-5x\\\\\mathrm{Simplify}\\\\-2x=-39\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\\\mathrm{Simplify}\\\\x=\frac{39}{2}[/tex]