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5\left(x-1\right)=3\left(x+1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-5=3\left(x+1\right)
Use the distributive property to multiply 5 by x-1.
5x-5=3x+3
Use the distributive property to multiply 3 by x+1.
5x-5-3x=3
Subtract 3x from both sides.
2x-5=3
Combine 5x and -3x to get 2x.
2x=3+5
Add 5 to both sides.
2x=8
Add 3 and 5 to get 8.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.