Question

Solve for x 2(x-2)=6

Answer 1

Solve for x

2(x - 2) = 6

First distribute 2 to both x and -2

2(x) = 2x
2(-2) = -4

2x - 4 = 6

Next, isolate the x. Do the opposite of PEMDAS. Add 4 to both sides

2x - 4 (+4) = 6 (+4)

2x = 6 + 4

2x = 10

Finally, to isolate the x, divide 2 from both sides

2x/2 = 10/2

x = 10/2

x = 5

5 is your answer for x

hope this helps

Answer 2

Hi!

First, let's use the distribution property.

To do that, multiply the values in the parentheses by the number outside of the parentheses. 
2 · x = 2x
2 · -2 = -4
2x - 4 = 6

Remember that whatever we do to the equation we have to do it to both sides. 

We need to isolate x on one side. So first let's add 4 to both sides.
2x - 4 + 4 = 6 + 4
2x = 10
Divide by 2 on both sides.
2x/2 = 10/2
x = 5

The answer is x = 5

Hope this helps! :) 
-Peredhel