SOLUTION: x+6= 3(5-x) i don't know what to do because the (5-x) got me all confused. please please help. 3/2x +1= 13 this problems messed me up because of the fraction.

Algebra ->  Linear-equations -> SOLUTION: x+6= 3(5-x) i don't know what to do because the (5-x) got me all confused. please please help. 3/2x +1= 13 this problems messed me up because of the fraction.       Log On


   



Question 154026: x+6= 3(5-x)
i don't know what to do because the (5-x) got me all confused. please please help.
3/2x +1= 13
this problems messed me up because of the fraction.

Found 2 solutions by checkley77, Earlsdon:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+6=3(5-x)
x+6=15-3x
x+3x=15-6
4x=9
x=9/4 answer.
--------------------------
3/2x+1=13
3x/2+1=13
3x/2=13-1
3x/2=12
3x=2*12
3x=24
x=24/3
x=8 answer.



Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Ok, let's look at the first one:
x%2B6+=+3%285-x%29 The first thing you want to do is to apply the distributive property to the right side.
x%2B6+=+3%2A5-3%2Ax Simplify this.
x%2B6+=+15-3x Now subtract x from both sides to get the variable, x, on on side of the equation, and it really doesn't matter which side but here, it ends up on the right side.
x-x%2B6+=+15-3x-x Simplify.
6+=+15-4x Now that you have the x on one side, you subtract 15 from both sides to leave the x-term by itself on the right side.
6-15+=+-4x%2B15-15 Simplify.
-9+=+-4x Now you need to "undo" the multiplication of the x by (-4), so you would divide both sides by (-4).
-9%2F%28-4%29+=+-4x%2F%28-4%29 Simplify.
9%2F4+=+x or highlight%28x+=+9%2F4%29
-----------------------------------
%283%2F2%29x%2B1+=+13 This problem is easier to handle if you can "clear" the fraction and you can do this by multiplying through by the denominator of 2.
2%28%283%2F2%29x%2B1%29+=+2%2813%29
2%2A%283%2F2%29x%2B2%2A1+=+2%2A13 Simplifying this, you'll get:
3x%2B2+=+26 Now, to isolate the x-term. you'll subtract 2 from both sides of the equation.
3x%2B2-2+=+26-2 Simplify.
3x+=+24 Finally, divide both sides by 3 to get the x by itself.
3x%2F3+=+24%2F3 Simplify.
highlight%28x+=+8%29