What is the value of x, when 10(x + 2) = 5(x + 8)?

Question

A
×= 1
x=2
C
x= 4
D x=5/6
E x=2 2/3

Answer 1

To solve the equation \( 10(x + 2) = 5(x + 8) \), we start by distributing both sides:

1. Distribute on the left side: \[ 10x + 20 \]

2. Distribute on the right side: \[ 5x + 40 \]

Now, the equation looks like this: \[ 10x + 20 = 5x + 40 \]

Next, we want to isolate \( x \). We can do this by subtracting \( 5x \) from both sides: \[ 10x - 5x + 20 = 40 \] This simplifies to: \[ 5x + 20 = 40 \]

Next, subtract 20 from both sides: \[ 5x = 40 - 20 \] This simplifies to: \[ 5x = 20 \]

Now, divide both sides by 5: \[ x = \frac{20}{5} \]

So, \[ x = 4 \]

Thus, the value of \( x \) is \( 4 \).

The correct answer is \( \text{C } x = 4 \).