Answer:
[tex]\boxed{\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x=15[/tex]
and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.
[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]5x=15[/tex]
[tex]5(3)=15[/tex]
[tex]15=15[/tex]
This checks out, so we know our solution is correct.
The solution to 5x=15 is x=3.
