# Solve for x.

• Sep 11th 2009, 08:04 AM
NoireFox
Solve for x.

Solve for x. ax+b=5(x+a)

Maybe its kinda early for my brain, but could someone please walk me through the steps of how I should've solved this?

Thanks.
• Sep 11th 2009, 08:12 AM
artvandalay11
\$\displaystyle ax+b=5(x+a)\$ first let's expand the right side

\$\displaystyle ax+b=5x+5a\$ this is the distributive law, review it if you don't remember it as it is extremely important

Now the name of the game is to isolate the x on one side of the equation

So lets subtract 5a from both sides

\$\displaystyle ax+b-5a=5x+5a-5a\$

\$\displaystyle ax+b-5a=5x\$ and let's subtract \$\displaystyle ax\$ from both sides

\$\displaystyle ax-ax+b-5a=5x-ax\$

\$\displaystyle b-5a=5x-ax\$ and we can factor the right side

\$\displaystyle b-5a=x(5-a)\$ and divide through to solve for x
• Sep 11th 2009, 08:15 AM
NoireFox
Wow. It must be early. I knew that but I couldn't remember that for the life of me in class. So, I just guessed, and luckily I guessed that answer! :)

Thank you so much.