Solve for x
x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333
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2\left(x+3\right)=5\left(x-2\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x+6=5\left(x-2\right)
Use the distributive property to multiply 2 by x+3.
2x+6=5x-10
Use the distributive property to multiply 5 by x-2.
2x+6-5x=-10
Subtract 5x from both sides.
-3x+6=-10
Combine 2x and -5x to get -3x.
-3x=-10-6
Subtract 6 from both sides.
-3x=-16
Subtract 6 from -10 to get -16.
x=\frac{-16}{-3}
Divide both sides by -3.
x=\frac{16}{3}
Fraction \frac{-16}{-3} can be simplified to \frac{16}{3} by removing the negative sign from both the numerator and the denominator.
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