Answer:
x = 11
Step-by-step explanation:
(x times 2) + 14 = (x times 4) - 8
Distribute.
2x + 14 = 4x - 8
Because we can't have x on both sides, we must put both of them on one.
We are going to reduce x's coefficient to 0.
2x - 2x = 0
What we do on one side, we do to the other.
4x - 2x = 2x
14 = 2x - 8
Now, we subtract 14 from -8.
14 - - 8 (same as 14 + 8) = 22
= 2x + 22
We are going to do the coefficient shuffle.
2x = 22
Divide.
22/2 = 11
x = 11
Answer: The equation is 2x + 14 = 4x - 8 and,
The number is 11
Step-by-step explanation: We start with the unknown number x and multiply it by 2, which gives us 2 times x, or simply put, 2x. If we add 14, it becomes 2x + 14. The result becomes the other side of the equation, and times 4 of x means 4x. If we subtract 8 from that, it can be written properly as 4x - 8.
So the complete equation from our word problem is
2x + 14 = 4x - 8
We collect like terms and we have
14 + 8 = 4x - 2x
Remember that when a positive value crosses to the other side of the equation it becomes negative and vice versa
22 = 2x
Divide both sides of the equation by 2
11 = x
Therefore the unknown number is 11
