Solve for x
x = -\frac{5}{2} = -2\frac{1}{2} = -2.5
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\left(x+2\right)\times 7=x-1
Variable x cannot be equal to any of the values -2,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+2\right), the least common multiple of x-1,x+2.
7x+14=x-1
Use the distributive property to multiply x+2 by 7.
7x+14-x=-1
Subtract x from both sides.
6x+14=-1
Combine 7x and -x to get 6x.
6x=-1-14
Subtract 14 from both sides.
6x=-15
Subtract 14 from -1 to get -15.
x=\frac{-15}{6}
Divide both sides by 6.
x=-\frac{5}{2}
Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.
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