Given the equation 7x-6=5(x+4) solve for variable and explain each step and justify your process

7x-6=5(x+4)

7x-6=5x+20
-5x -5x

2x-6=20
+6 +6

2x=26
/2 /2

X=13

Solve for x so we get the problem 7x-6=5(x+4) first parentheses solve 5(x=4) turns into 7x-6=5x+20 we need x on one side only 7x is greater so will add 6 to the -6 and do the same to the other side to get the new problem 7x=5x+26 the positive 6 gets rid of the 6 on the 7x side and adds 6 to 20 to make 26. last we get rid of 5x so subtract it from both sides and you get 2x=26 x has to be by its self so last thing to do is divide 2x by itself and 2x divided by 26 for the final problem (x=13 answer)

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