Explain steps to solve -7 (x-2)-6=-3x

To solve -7(x - 2) -6 = -3x

We need to remember PEMDAS and the properties of equality

First we get rid of the parenthesis by distributing -7 throughout 

(distributive property of equality)

-7 x X = -7x
-7 x - 2 = 14

Now we have -7x + 14 - 6 = -3x

Now we need to combine like terms, or simplify the expression

14 - 6 = 8

Now we have -7x + 8 = -3x

Now we can subtract 8 from both sides to get the variables on one side

-7x - 8 + 8 = -3x - 8
-7x = -3x - 8

And again, but this time adding 3x to each side

-7x + 3x = -8
-4x = -8

Now we divide -8 by -4 to find x

-8/-4 = 2

-2

Simplified work:
-7(x - 2) -6 = -3x
-7x + 14 - 6 = -3x
-7x + 8 = -3x
-7x = -3x - 8
-4x = -8
x = 2

I hope this helps!