SOLUTION: Please help! How do I solve the following equations? (a) -x+12=-4+x (b) 3(x-2)+2=2(x-4) (c) x/5 - x/3 = 8/15 (d) I = Prt Solve for r

Algebra ->  Equations -> SOLUTION: Please help! How do I solve the following equations? (a) -x+12=-4+x (b) 3(x-2)+2=2(x-4) (c) x/5 - x/3 = 8/15 (d) I = Prt Solve for r      Log On


   

Question 69520This question is from textbook Beginning Algebra
: Please help! How do I solve the following equations?
(a) -x+12=-4+x
(b) 3(x-2)+2=2(x-4)
(c) x/5 - x/3 = 8/15
(d) I = Prt Solve for r This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
a) Solve for x:
-x%2B12+=+-4%2Bx Add x to both sides of the equation.
12+=+-4%2B2x Add 4 to both sides.
16+=+2x Divide both sides by 2.
8+=+x or x+=+8
b) Solve for x:
3%28x-2%29%2B2+=+2%28x-4%29 Apply the distributive property to both sides.
3x-6%2B2+=+2x-8 Combine like-terms.
3x-4+=+2x-8 Subtract 2x from both sides.
x-4+=+-8 Add 4 to both sides.
x+=+-4
c) Solve for x:
x%2F5+-+x%2F3+=+8%2F15 Combine (subtract) the fractions on the left side.
%283x-5x%29%2F15+=+8%2F15 Simplify.
%28-2x%29%2F15+=+8%2F15 Multiply both sides by 15.
-2x+=+8 Divide both sides by -2.
x+=+-4
d) Solve for r:
I+=+Prt Divide both sides by Pt
I%2FPt+=+r or r+=+I%2FPt