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5\left(x+1\right)=3x-15
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x+5=3x-15
Use the distributive property to multiply 5 by x+1.
5x+5-3x=-15
Subtract 3x from both sides.
2x+5=-15
Combine 5x and -3x to get 2x.
2x=-15-5
Subtract 5 from both sides.
2x=-20
Subtract 5 from -15 to get -20.
x=\frac{-20}{2}
Divide both sides by 2.
x=-10
Divide -20 by 2 to get -10.