Question

(x-1)/5 + 3(x+2) = x/2

Answer 1

The solution lies in very careful bookkeeping to avoid simple mistakes when simplifying this equation. Let's get started:

(X-1)/5 + 3*(X+2) = X/2

Multiply left and righ of the =-sign with 10, to get rid of the '/5' and '/2' divisions:

10(X-1)/5 + 10*3*(X+2) = 10*X/2

Clean up gets us:

2(X-1) + 30*(X+2) = 5*X

Now get rid of the brackets;

2*X - 2 + 30*X + 60 = 5*X
32*X + 58 = 5*X

Subtract 5*X from both sides;

27*X + 58 = 0, which means: 27*X = -58

Therefore X = -28/27

Answer 2

sigh...and I made my own mistake at the very bottom. The last line needs to read:

Therefore X = -58 / 27 = 2 and 4/27

Answer 3

thank youu soo soo much, you helped us so much :)