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5\left(X-1\right)=3\left(X+2\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5X-5=3\left(X+2\right)
Use the distributive property to multiply 5 by X-1.
5X-5=3X+6
Use the distributive property to multiply 3 by X+2.
5X-5-3X=6
Subtract 3X from both sides.
2X-5=6
Combine 5X and -3X to get 2X.
2X=6+5
Add 5 to both sides.
2X=11
Add 6 and 5 to get 11.
X=\frac{11}{2}
Divide both sides by 2.