SOLUTION: 1. Solve a)-7 + 5√ (2x+3) = 8 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)

Algebra ->  Radicals -> SOLUTION: 1. Solve a)-7 + 5√ (2x+3) = 8 Can you please help me out? Thanks so much in advance:) Can you please show the steps it would really help me understand:)      Log On


   

Question 752498: 1. Solve
a)-7 + 5√ (2x+3) = 8
Can you please help me out? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
-7%2B5sqrt%282x%2B3%29+=+8 First, add 7 to both sides of the equation.
-7%2B7%2B5sqrt%282x%2B3%29+=+7%2B8 Simplify.
5sqrt%282x%2B3%29+=+15 Now divide both sides by 5.
%285sqrt%282x%2B3%29%29%2F5+=+15%2F5 Divide.
sqrt%282x%2B3%29+=+3 Square both sides.
%28sqrt%282x%2B3%29%29%5E2+=+3%5E2 Evaluate.
2x%2B3+=+9 Subtract 3 from both sides.
2x%2B3-3+=+9-3 Evaluate.
2x+=+6 Finally, divide both sides by 2.
x+=+3