Solve for x
x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667
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5\left(x-3\right)=2\left(x-2\right)
Multiply both sides of the equation by 10, the least common multiple of 2,5.
5x-15=2\left(x-2\right)
Use the distributive property to multiply 5 by x-3.
5x-15=2x-4
Use the distributive property to multiply 2 by x-2.
5x-15-2x=-4
Subtract 2x from both sides.
3x-15=-4
Combine 5x and -2x to get 3x.
3x=-4+15
Add 15 to both sides.
3x=11
Add -4 and 15 to get 11.
x=\frac{11}{3}
Divide both sides by 3.
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