Solve for x
x>-1
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2x+6<6\left(x+3\right)-8
Use the distributive property to multiply 2 by x+3.
2x+6<6x+18-8
Use the distributive property to multiply 6 by x+3.
2x+6<6x+10
Subtract 8 from 18 to get 10.
2x+6-6x<10
Subtract 6x from both sides.
-4x+6<10
Combine 2x and -6x to get -4x.
-4x<10-6
Subtract 6 from both sides.
-4x<4
Subtract 6 from 10 to get 4.
x>\frac{4}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>-1
Divide 4 by -4 to get -1.
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