Solve for x
x=3
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3x+1=5\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.
3x+1=5x-5
Use the distributive property to multiply 5 by x-1.
3x+1-5x=-5
Subtract 5x from both sides.
-2x+1=-5
Combine 3x and -5x to get -2x.
-2x=-5-1
Subtract 1 from both sides.
-2x=-6
Subtract 1 from -5 to get -6.
x=\frac{-6}{-2}
Divide both sides by -2.
x=3
Divide -6 by -2 to get 3.
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