3(x+6)=2(4x+14) what is the value of x?
2 answers:
Hi there! ~
So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~
• Our first step is going to be to distribute our problem.
We have; (Putting these in parenthesis)
3(x+6) = 2(4x + 14)
↓ ↓ ↓ ↓ ↓ ↓
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓ ↓ ↓ ↓ ↓ ↓
3x + 18 = 8x + 26
• Now we need to subtract "18" by both sides of the given equation.
-5x + 18 - 18 = 28 - 18
28-18 = 10
-5x = 10
↓ ↓ ↓ ↓ ↓
• Now we need to divide both of our sides by -5, to get our final and foremost answer.
And with that we get our final answer; x = -2
So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~
• Our first step is going to be to distribute our problem.
We have; (Putting these in parenthesis)
3(x+6) = 2(4x + 14)
↓ ↓ ↓ ↓ ↓ ↓
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓ ↓ ↓ ↓ ↓ ↓
3x + 18 = 8x + 26
• Now we need to subtract "18" by both sides of the given equation.
-5x + 18 - 18 = 28 - 18
28-18 = 10
-5x = 10
↓ ↓ ↓ ↓ ↓
• Now we need to divide both of our sides by -5, to get our final and foremost answer.
And with that we get our final answer; x = -2
You might be interested in
Answer:
nth term =
Step-by-step explanation:
Let us assume that the given sequence is a G.P.
Now, if the first term of the G.P. is a and the common ratio is r, then
Third term = .......... (1) and
20th term = ........... (2)
Now, dividing equation (2) with equation (1) we get
⇒
⇒ r = 1.2.
Hence, from equation (1) we get
a(1.2)² = 11
⇒ a = 7.639 (Approx.)
Therefore, the general term of the sequence i.e. nth term = (Answer)