Solve for x
x\geq -31
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14-5x-\left(-6\right)\geq -6\left(x+1\right)-5
To find the opposite of 5x-6, find the opposite of each term.
14-5x+6\geq -6\left(x+1\right)-5
The opposite of -6 is 6.
20-5x\geq -6\left(x+1\right)-5
Add 14 and 6 to get 20.
20-5x\geq -6x-6-5
Use the distributive property to multiply -6 by x+1.
20-5x\geq -6x-11
Subtract 5 from -6 to get -11.
20-5x+6x\geq -11
Add 6x to both sides.
20+x\geq -11
Combine -5x and 6x to get x.
x\geq -11-20
Subtract 20 from both sides.
x\geq -31
Subtract 20 from -11 to get -31.
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