Solve for x
x = \frac{85}{54} = 1\frac{31}{54} \approx 1.574074074
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6\times 6-5=54\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 6\left(x-1\right), the least common multiple of x-1,6x-6.
36-5=54\left(x-1\right)
Multiply 6 and 6 to get 36.
31=54\left(x-1\right)
Subtract 5 from 36 to get 31.
31=54x-54
Use the distributive property to multiply 54 by x-1.
54x-54=31
Swap sides so that all variable terms are on the left hand side.
54x=31+54
Add 54 to both sides.
54x=85
Add 31 and 54 to get 85.
x=\frac{85}{54}
Divide both sides by 54.
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