Solve for x
x=3
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3\left(x+3\right)-2\left(3-x\right)=3\left(x-3\right)+18
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+9-2\left(3-x\right)=3\left(x-3\right)+18
Use the distributive property to multiply 3 by x+3.
3x+9-6+2x=3\left(x-3\right)+18
Use the distributive property to multiply -2 by 3-x.
3x+3+2x=3\left(x-3\right)+18
Subtract 6 from 9 to get 3.
5x+3=3\left(x-3\right)+18
Combine 3x and 2x to get 5x.
5x+3=3x-9+18
Use the distributive property to multiply 3 by x-3.
5x+3=3x+9
Add -9 and 18 to get 9.
5x+3-3x=9
Subtract 3x from both sides.
2x+3=9
Combine 5x and -3x to get 2x.
2x=9-3
Subtract 3 from both sides.
2x=6
Subtract 3 from 9 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.
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Limits
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