Solve for x
x = \frac{13}{4} = 3\frac{1}{4} = 3.25
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\frac{1}{x-3}=4
Divide both sides by 1.
1=4\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
1=4x-12
Use the distributive property to multiply 4 by x-3.
4x-12=1
Swap sides so that all variable terms are on the left hand side.
4x=1+12
Add 12 to both sides.
4x=13
Add 1 and 12 to get 13.
x=\frac{13}{4}
Divide both sides by 4.
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