Find the value of x in the equation 2 (x + 2) = 6x.

Okay, this is the solution:

First you multiply the number 2 by everything contained in the bracket as shown below

2 (x) + 2 (2) = 6x

2x + 4 = 6x

Next you group the like terms together that is, the x's by sending 2x to the other side of the = sign

4 = 6x - 2x

Now that the like terms are grouped, we can now proceed to any arithmetic left (-, +, ...)

4 = 4x

Finally we can find the x value by eliminating the 4 next to it through division as follows

4/4 = 4x/4

When the cancellation is done we will have our answer

x = 1/1

x = 1

2 (x+2) = 6x

2x + 4=6x

2x = 6x - 4

2x - 6x = - 4

- 4x = - 4

x = - 4/-4

Thus, x=1