SOLUTION: 8x - 1 = 23 - 4x If I could see the steps in solving this I can figure out the rest of them. Thank you. Rick Kalbfell

Algebra ->  Equations -> SOLUTION: 8x - 1 = 23 - 4x If I could see the steps in solving this I can figure out the rest of them. Thank you. Rick Kalbfell       Log On


   

Question 51421This question is from textbook introductory algebra
: 8x - 1 = 23 - 4x
If I could see the steps in solving this I can figure out the rest of them. Thank you.
Rick Kalbfell This question is from textbook introductory algebra

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
You need to get like terms on the same side of the equation; i.e., get the 'x' terms all on one side and the scalars on the opposite side. So, let's start by adding 1 to both sides of the equation: 8x+-+1+%2B+1+=+23+-+4x+%2B+1. That equates to: 8x+=+24+-+4x. Next, let's add 4x to both sides thusly: 8x+%2B+4x+=+24+-+4x+%2B+4x, which simplifies to: 12x = 24. To solve for x, we have to divide both sides by 12: +12x+%2F+12+=+24%2F12+, and that simplifies to x=2. To check our work, we substitute 2 into the original equation. This produces: 8%2A2-1=23-4%2A2, which equates to 16-1=23-8, which simplifies to 15=15. Because 15=15 is a true statement, that proves our answer of x=2 is correct.