Solve for x
x = \frac{24}{5} = 4\frac{4}{5} = 4.8
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3\left(x+2\right)=24-2\left(x-3\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+6=24-2\left(x-3\right)
Use the distributive property to multiply 3 by x+2.
3x+6=24-2x+6
Use the distributive property to multiply -2 by x-3.
3x+6=30-2x
Add 24 and 6 to get 30.
3x+6+2x=30
Add 2x to both sides.
5x+6=30
Combine 3x and 2x to get 5x.
5x=30-6
Subtract 6 from both sides.
5x=24
Subtract 6 from 30 to get 24.
x=\frac{24}{5}
Divide both sides by 5.
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Limits
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