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6-\left(x+4\right)=8
Multiply both sides of the equation by 4, the least common multiple of 2,4.
6-x-4=8
To find the opposite of x+4, find the opposite of each term.
2-x=8
Subtract 4 from 6 to get 2.
-x=8-2
Subtract 2 from both sides.
-x=6
Subtract 2 from 8 to get 6.
x=-6
Multiply both sides by -1.