Use the properties of equalities to solve the given equation:
[tex]\frac{x}{5}+3=2[/tex]First, susbtract 3 from both sides of the equation:
[tex]\frac{x}{5}+3-3=2-3[/tex]Simplify the expressions on both sides of the equation:
[tex]\frac{x}{5}=-1[/tex]Multiply both sides by 5:
[tex]\frac{x}{5}\cdot5=-1\cdot5[/tex]Simplify the expressions on both sides of the equation:
[tex]x=-5[/tex]Therefore, x=-5