Solve for x: x + 6 = 5(2x - 2)
Answers to choose from, these are all fractions.
A. 8/9
B. 16/9
C. -4/9
D. -14/9
Can someone please help me with this because when I saw the fractions I completely freaked!
x + 6 = 5(2x - 2)
x + 6 = 10x - 10
6 + 10 = 9x
16 = 9x
16/9 = x
Thank you so much!
You're welcome.
Sure! I can help you solve this equation.
To start, let's distribute the 5 on the right side of the equation by multiplying it with each term inside the parentheses:
x + 6 = 5(2x - 2)
x + 6 = 10x - 10
Now, let's gather like terms on one side of the equation. We can do this by subtracting x from both sides:
x - x + 6 = 10x - x - 10
6 = 9x - 10
Next, let's isolate the variable term on one side by adding 10 to both sides of the equation:
6 + 10 = 9x - 10 + 10
16 = 9x
Finally, divide both sides by 9 to solve for x:
(16)/9 = (9x)/9
16/9 = x
So, the solution to the equation x + 6 = 5(2x - 2) is x = 16/9.
Therefore, the answer is option B, 16/9.