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