Solve for x
x = -\frac{17}{8} = -2\frac{1}{8} = -2.125
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\left(x+4\right)\times 5=\left(x-1\right)\left(-3\right)
Variable x cannot be equal to any of the values -4,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+4\right), the least common multiple of x-1,x+4.
5x+20=\left(x-1\right)\left(-3\right)
Use the distributive property to multiply x+4 by 5.
5x+20=-3x+3
Use the distributive property to multiply x-1 by -3.
5x+20+3x=3
Add 3x to both sides.
8x+20=3
Combine 5x and 3x to get 8x.
8x=3-20
Subtract 20 from both sides.
8x=-17
Subtract 20 from 3 to get -17.
x=\frac{-17}{8}
Divide both sides by 8.
x=-\frac{17}{8}
Fraction \frac{-17}{8} can be rewritten as -\frac{17}{8} by extracting the negative sign.
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