SOLUTION: What would the answer be for 12+2(k+3)=3k-6? Could you please show the work so i can understand it.

Question 66729: What would the answer be for 12+2(k+3)=3k-6?
Could you please show the work so i can understand it.
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
12+2(k+3)=3k-6
Use the distributive property to get:
12+2k+6 = 3k-6
Combine like terms on the left side to get:
2x+18=3k-6
Add 6 to both sides to get:
2x+24=3x
Subtract 2x from both sides to get:
x=24
Cheers,
Stan H.

Answer by Edwin McCravy(6939) (Show Source):
You can put this solution on YOUR website!
What would the answer be for 12 + 2(k + 3) = 3k - 6 First get rid of the parentheses on the left by multiplying the +2 times both terms inside it, the k and the +3, giving +2k + 6 12 + 2k + 6 = 3k - 6 Add the 12 and the +6, getting 18 18 + 2k = 3k - 6 Get rid of the 18 on the left by adding -18 to both sides: 18 + 2k = 3k - 6 -18 -18 ------------------ 2k = 3k - 24 Get rid of the 3k on the right by adding -3k to both sides: 2k = 3k - 24 -3k -3k ------------- -k = -24 Now write -k as -1k -1k = -24 Now we get rid of the -1 coefficient of k, we divide both sides by -1: -1k -24 ————— = —-——— -1 -1 The -1's cancel on the left, leaving only k. -24 divided by -1 on the right gives +24 on the right and we are left with: k = 24 The solution is 24. Edwin