Solve for x
x\geq 1
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6-2x+8\leq 2x+10
Use the distributive property to multiply -2 by x-4.
14-2x\leq 2x+10
Add 6 and 8 to get 14.
14-2x-2x\leq 10
Subtract 2x from both sides.
14-4x\leq 10
Combine -2x and -2x to get -4x.
-4x\leq 10-14
Subtract 14 from both sides.
-4x\leq -4
Subtract 14 from 10 to get -4.
x\geq \frac{-4}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq 1
Divide -4 by -4 to get 1.
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