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-6x+3<12x+32
Use the distributive property to multiply 4 by 3x+8.
-6x+3-12x<32
Subtract 12x from both sides.
-18x+3<32
Combine -6x and -12x to get -18x.
-18x<32-3
Subtract 3 from both sides.
-18x<29
Subtract 3 from 32 to get 29.
x>-\frac{29}{18}
Divide both sides by -18. Since -18 is negative, the inequality direction is changed.