We want to find the solution for the equation
[tex]25(x+5)=20(1.5x+1)[/tex]Using the distributive property(given below)
[tex]a(b+c)=ab+ac[/tex]We can expand our expressiona s
[tex]\begin{gathered} 25(x+5)=20(1.5x+1) \\ 25\cdot x+25\cdot5=20\cdot1.5x+20\cdot1 \\ 25x+125=30x+20 \end{gathered}[/tex]We can subtract 20 from both sides of the equation
[tex]\begin{gathered} 25x+125-20=30x+20-20 \\ 25x+105=30x \end{gathered}[/tex]Then, we can subtract 25x from both sides
[tex]\begin{gathered} 25x+105-25x=30x-25x \\ 105=5x \end{gathered}[/tex]Finally, if we divide both sides by 5 we're going to have our answer
[tex]\begin{gathered} \frac{105}{5}=x \\ x=21 \end{gathered}[/tex]And this is our answer. x = 21.
