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2\left(x-1\right)+3>30
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
2x-2+3>30
Use the distributive property to multiply 2 by x-1.
2x+1>30
Add -2 and 3 to get 1.
2x>30-1
Subtract 1 from both sides.
2x>29
Subtract 1 from 30 to get 29.
x>\frac{29}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.