Solve for x
x=9
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6\times 9=6x\times \frac{1}{3}+3\left(x+3\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of x,3,2x.
54=6x\times \frac{1}{3}+3\left(x+3\right)
Multiply 6 and 9 to get 54.
54=2x+3\left(x+3\right)
Multiply 6 and \frac{1}{3} to get 2.
54=2x+3x+9
Use the distributive property to multiply 3 by x+3.
54=5x+9
Combine 2x and 3x to get 5x.
5x+9=54
Swap sides so that all variable terms are on the left hand side.
5x=54-9
Subtract 9 from both sides.
5x=45
Subtract 9 from 54 to get 45.
x=\frac{45}{5}
Divide both sides by 5.
x=9
Divide 45 by 5 to get 9.
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