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6\left(x+1\right)=5x
Multiply both sides of the equation by 30, the least common multiple of 5,6.
6x+6=5x
Use the distributive property to multiply 6 by x+1.
6x+6-5x=0
Subtract 5x from both sides.
x+6=0
Combine 6x and -5x to get x.
x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.