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