What is the value of x, when 10(x + 2) = 5(x + 8)?
A. x = 1
B. x = 2
C. x = 4
D. x = 5/6
E. x = 2 2/3
To solve the equation, we can start by distributing on both sides:
10(x + 2) = 5(x + 8)
= 10x + 20 = 5x + 40
Next, we can subtract 5x from both sides to eliminate it from the equation:
10x + 20 - 5x = 5x + 40 - 5x
= 5x + 20 = 40
Next, we subtract 20 from both sides:
5x + 20 - 20 = 40 - 20
= 5x = 20
Finally, we can divide both sides by 5 to solve for x:
5x/5 = 20/5
= x = 4
Therefore, the value of x is 4. The correct answer is C.
To find the value of x, we can start by simplifying the equation.
10(x + 2) = 5(x + 8)
Start by distributing 10 to both terms inside the parentheses on the left side:
10x + 20 = 5(x + 8)
Next, distribute 5 to both terms inside the parentheses on the right side:
10x + 20 = 5x + 40
Now, let's isolate the variable x by moving all the x terms to one side and the constant terms to the other side:
10x - 5x = 40 - 20
Combine like terms:
5x = 20
Finally, divide both sides by 5 to solve for x:
x = 20/5
Simplifying:
x = 4
Therefore, the value of x is 4 (C).
To find the value of x, we need to solve the given equation 10(x + 2) = 5(x + 8). We can start by simplifying the equation and then isolating x.
Let's start by distributing the values inside the parentheses:
10x + 20 = 5x + 40
Next, let's gather like terms by subtracting 5x from both sides:
10x - 5x + 20 = 5x - 5x + 40
5x + 20 = 40
Now, let's isolate x by subtracting 20 from both sides:
5x + 20 - 20 = 40 - 20
5x = 20
Finally, let's solve for x by dividing both sides by 5:
(5x) / 5 = 20 / 5
x = 4
Therefore, the value of x that satisfies the equation 10(x + 2) = 5(x + 8) is x = 4. So, the correct answer is C. x = 4.