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\left(x-1\right)\times 5=\left(x+3\right)\times 3
Variable x cannot be equal to any of the values -3,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+3\right), the least common multiple of x+3,x-1.
5x-5=\left(x+3\right)\times 3
Use the distributive property to multiply x-1 by 5.
5x-5=3x+9
Use the distributive property to multiply x+3 by 3.
5x-5-3x=9
Subtract 3x from both sides.
2x-5=9
Combine 5x and -3x to get 2x.
2x=9+5
Add 5 to both sides.
2x=14
Add 9 and 5 to get 14.
x=\frac{14}{2}
Divide both sides by 2.
x=7
Divide 14 by 2 to get 7.