[tex]5x+5=x+45[/tex]
We'd rather not have x on both sides of the equation when trying to solve this. To eliminate the x on the right side, subtract both sides by x.
[tex]5x+5-x=x+45-x[/tex]
[tex]4x+5=45[/tex]
Let's get eliminate the "5" on the left side. Subtract both sides by 5.
[tex]4x+5-5=45-5[/tex]
[tex]4x=40[/tex]
To finish this, divide both sides by 4.
[tex]4x \div 4=40 \div 4[/tex]
[tex]x=10[/tex]
That is the answer. Hope this helps! :)