** Final Answer

$x\leq 6$

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**## Step-by-step Solution

Problem to solve:

$8-x\geq 2$

** Specify the solving method

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**

1

Moving the term $8$ to the other side of the inequation with opposite sign

$-x\geq -6$

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**

2

Multiply both sides of the inequality by $-1$, reversing the sign

$x\leq 6$

** Final Answer

$x\leq 6$

**