Solve for x
x>-\frac{1}{3}
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5x+3>-x-\left(-1\right)
To find the opposite of x-1, find the opposite of each term.
5x+3>-x+1
The opposite of -1 is 1.
5x+3+x>1
Add x to both sides.
6x+3>1
Combine 5x and x to get 6x.
6x>1-3
Subtract 3 from both sides.
6x>-2
Subtract 3 from 1 to get -2.
x>\frac{-2}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>-\frac{1}{3}
Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.
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