Solve for x
x=-\frac{1}{10}=-0.1
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-4\left(x+1\right)=3\left(2x-1\right)
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2x-1\right), the least common multiple of -2x+1,4.
-4x-4=3\left(2x-1\right)
Use the distributive property to multiply -4 by x+1.
-4x-4=6x-3
Use the distributive property to multiply 3 by 2x-1.
-4x-4-6x=-3
Subtract 6x from both sides.
-10x-4=-3
Combine -4x and -6x to get -10x.
-10x=-3+4
Add 4 to both sides.
-10x=1
Add -3 and 4 to get 1.
x=\frac{1}{-10}
Divide both sides by -10.
x=-\frac{1}{10}
Fraction \frac{1}{-10} can be rewritten as -\frac{1}{10} by extracting the negative sign.
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