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x-2+8=4-2\left(2+7\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
x+6=4-2\left(2+7\right)
Add -2 and 8 to get 6.
x+6=4-2\times 9
Add 2 and 7 to get 9.
x+6=4-18
Multiply -2 and 9 to get -18.
x+6=-14
Subtract 18 from 4 to get -14.
x=-14-6
Subtract 6 from both sides.
x=-20
Subtract 6 from -14 to get -20.