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3\left(x+1\right)=5\left(x+3\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x+3=5\left(x+3\right)
Use the distributive property to multiply 3 by x+1.
3x+3=5x+15
Use the distributive property to multiply 5 by x+3.
3x+3-5x=15
Subtract 5x from both sides.
-2x+3=15
Combine 3x and -5x to get -2x.
-2x=15-3
Subtract 3 from both sides.
-2x=12
Subtract 3 from 15 to get 12.
x=\frac{12}{-2}
Divide both sides by -2.
x=-6
Divide 12 by -2 to get -6.