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

Responses
A x = 1x = 1
B x = 2x = 2
C x = 4x = 4
D x =

x = 5 6
E x = 2

1 answer

To solve the equation 10(x + 2) = 5(x + 8), we can start by distributing the 10 and 5 on each side of the equation:

10(x) + 10(2) = 5(x) + 5(8)
10x + 20 = 5x + 40

Next, we can combine like terms on each side of the equation:

10x - 5x = 40 - 20
5x = 20

To solve for x, we can divide both sides of the equation by 5:

5x/5 = 20/5
x = 4

Therefore, the value of x is 4. The correct answer is C) x = 4.