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\left(x+1\right)\times 5-4=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 x+1.
5x+5-4=6\left(x+1\right)
Use the distributive property to multiply x+1 by 5.
5x+1=6\left(x+1\right)
Subtract 4 from 5 to get 1.
5x+1=6x+6
Use the distributive property to multiply 6 by x+1.
5x+1-6x=6
Subtract 6x from both sides.
-x+1=6
Combine 5x and -6x to get -x.
-x=6-1
Subtract 1 from both sides.
-x=5
Subtract 1 from 6 to get 5.
x=-5
Multiply both sides by -1.