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5\left(x-1\right)=6\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 5\left(x+1\right), the least common multiple of x+1,5.
5x-5=6\left(x+1\right)
Use the distributive property to multiply 5 by x-1.
5x-5=6x+6
Use the distributive property to multiply 6 by x+1.
5x-5-6x=6
Subtract 6x from both sides.
-x-5=6
Combine 5x and -6x to get -x.
-x=6+5
Add 5 to both sides.
-x=11
Add 6 and 5 to get 11.
x=-11
Multiply both sides by -1.