3t+8(2t - 6) = 2 + 14t
Could you explain step-by-step plz?thx
2007-03-03 15:19:37 · 12 answers · asked by Yahoostaff 1 in Science & Mathematics ➔ Mathematics
3t+8(2t-6) = 2+14t
=> 3t+16t-48=2+14t (multiplying 8 with 2t-6)
=> 19t-48=2+14t (adding t terms)
=>19t-14t = 2+48 (taking like terms on one side, sign changes when u switch sides, so 14t becomes -14t on the left and so on)
=>5t = 50 (performing addition and subtraction on both sides)
=>t = 50/5
=> t= 10
2007-03-03 15:26:06 · answer #1 · answered by Rainmaker 2 · 1⤊ 1⤋
First, expand the equation
3t + 16t - 48 = 2 + 14t
Then, place the unknowns on the left hand side (LHS) and integers on the right hand side (RHS)
3t + 16 t - 14t = 2 + 48
(note that positive become negative and vice versa when switching sides)
Finally, solve it
5t = 50
t = 50/5
t = 10
3t + 8(2t - 6) = 2 + 14t
3t + 16t - 48 = 2 + 14t
3t + 16 t - 14t = 2 + 48
5t = 50
t = 50/5
t = 10
2007-03-03 15:28:52 · answer #2 · answered by dchosen1_007 2 · 0⤊ 0⤋
3t + 8(2t - 6) = 2 + 14t
First, expand the bracketed portion.
3t + 8(2t) - 8(6) = 2 + 14t
Simplify,
3t + 16t - 48 = 2 + 14t
Move everything with a t on the left hand and everything else to the right hand side.
3t + 16t - 14t = 2 + 48
Group like terms.
19t - 14t = 50
5t = 50
Divide both sides by 5.
t = 50/5
t = 10
2007-03-03 15:24:05 · answer #3 · answered by Puggy 7 · 0⤊ 0⤋
3t + 8(2t-6)=2 + 14t
distributed law
3t + 16t - 48 = 2 + 14t
add 3t to 16t
19t - 48 = 2 + 14t
add 48 to both sides of the equation
19t = 2 + 14t + 48
subtract 14t from both sides of the equation. add 2 + 48
5t = 50
divide both side by 5
t = 10
2007-03-03 15:27:28 · answer #4 · answered by Skeptic 7 · 0⤊ 0⤋
3t + 8(2t-6) = 2 + 14t
3t+16t-48 = 2 +14t
19t - 48 = 2 + 14t
19t-48+48 = 2 + 14t +48
19t = 50 +14t
19t - 14t = 50 +14t-14t
5t = 50
t = 10
2007-03-03 15:26:15 · answer #5 · answered by paul13051956 3 · 0⤊ 0⤋
First, get rid of the parenthesis. Multiply 2t-6 by 8.
Now you have 3t+16t-48=2+14t
There's a simple addition equation to be done.
Now you have 19t-48=2+14t
Let's get rid of the whole numbers.
Since the left side of the equation shows that you
need to subtract 48, why don't you add 48 to both sides.
Now you have 19t=50+14t
Since the right side of the equation shows that you
need to add 14t, why don't you subtract 14t from both sides.
Now you have 5t=50
Since the left side of the equation shows that you
need to multiply t by 5, why don't you divide both sides by 5.
Now you have t=10.
That's your solution.
2007-03-03 15:27:10 · answer #6 · answered by SueInBoston 3 · 0⤊ 0⤋
1. simplify ()
3t + 16t -48 = 2 +14t
2. move all items with t to the left and numbers to right.
remember, sign of the item changes when moved to the other side
3t +16t -14t = 2+48
3. algebrically add up and simplify each side.
5t = 50
4. devide each side by 5
5t /5 = 50/5
t = 10
2007-03-03 15:36:59 · answer #7 · answered by cookiedada 3 · 0⤊ 0⤋
3t+8(2t-6)=2+14t
3t+16t-48=2+14t
19t-48=2+14t
5t=50
t=10
2007-03-03 15:49:58 · answer #8 · answered by abcde12345 4 · 0⤊ 0⤋
3t+8(2t-6) = 2+14t
3t+16t-48=2+14t
3t+16t-14t=2+48
15t=50
t=15/50
t=0.3
kinda easy dude
2007-03-03 15:25:48 · answer #9 · answered by Anonymous · 1⤊ 1⤋
3t+8(2t-6)=2+14t
3t+16t-48=2+14t
19t-14t=48+2
5t=50
t=50/5
t=10
2007-03-03 17:30:27 · answer #10 · answered by shohag 1 · 0⤊ 0⤋