Explain how to solve 6x-8=22 - (x-5) ?

6x-8=22 - (*-5); add 8 to both sides

6x=30 - (x-5); distribute negative sign

6x=30-x+5; combine like terms

6x=35-x; add x on both sides

7x=35; divide both sides by 7

x=5 is the answer

substitute 5 for x and check

6 (5) - 8=22 - (5-5)

30-8=22 - (-0)

22=22

so the answer would be x=5

So you first do the parenthasees

remember that - (x-5) is equal to - 1 (x-5) or - x+5

we try to get all the unknowns or the x terms on one side and the known terms, like numbers 1,2,3 on the other

so 6x-8=22-x+5

add like terms (x+x and numbers + numbers)

6x-8=27-x

add x to both sides

7x-8=27

add 8 to both sides

7x=35

divide both sides by 7

x=5