Solve for x
x=\frac{1}{2}=0.5
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3\left(x-1\right)=-\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+1\right), the least common multiple of 1+x,3.
3x-3=-\left(x+1\right)
Use the distributive property to multiply 3 by x-1.
3x-3=-x-1
To find the opposite of x+1, find the opposite of each term.
3x-3+x=-1
Add x to both sides.
4x-3=-1
Combine 3x and x to get 4x.
4x=-1+3
Add 3 to both sides.
4x=2
Add -1 and 3 to get 2.
x=\frac{2}{4}
Divide both sides by 4.
x=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
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