SOLUTION: 5(2x-1) - 3(x-4) = 4(x+4) I got the most of it. sec 3(x-4)should it be 3(x+4). I seen something about - changing to positive or the other way a

Algebra ->  Expressions -> SOLUTION: 5(2x-1) - 3(x-4) = 4(x+4) I got the most of it. sec 3(x-4)should it be 3(x+4). I seen something about - changing to positive or the other way a      Log On


   



Question 74435: 5(2x-1) - 3(x-4) = 4(x+4)
I got the most of it. sec 3(x-4)should it be
3(x+4). I seen something about - changing to positive or the other way around.
In an example.
2(3x-1)-3(x+5)=4
after doing the dist prop.
6x-2 - 3x (+ or -15) the book put a -. When should I change my signs. And why.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
5%282x-1%29-3%28x-4%29+=+4%28x%2B4%29 Apply the distributive property liberally.
10x-5-3x%2B12+=+4x%2B16 Combine like-terms.
7x%2B7+=+4x%2B16 Subtract 4x from both sides.
3x%2B7+=+16 Subtract 7 from both sides.
3x+=+9 Finally, divide both sides by 3.
x+=+3
Check: Substitute x=3.
5%282%283%29-1%29-3%283-4%29+=+4%283%2B4%29 Simplify.
5%286-1%29-3%28-1%29+=+4%287%29
5%285%29%2B3+=+28
28+=+28
2%283x-1%29-3%28x%2B5%29+=+4 Apply the distributive property.
6x-2-3x-15+=+4 Combine like-terms.
3x-17+=+4 Add 17 to both sides.
3x+=+21 Divide both sides by 3.
x+=+7
Check: Substitute x = 7
2%283%287%29-1%29-3%287%2B5%29+=+4
2%2821-1%29-3%2812%29
2%2820%29-36+=+4
40-36+=+4
4+=+4