Solve for x
x=6
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6\times 3-3=5\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 6\left(x-3\right), the least common multiple of x-3,2x-6,6.
18-3=5\left(x-3\right)
Multiply 6 and 3 to get 18.
15=5\left(x-3\right)
Subtract 3 from 18 to get 15.
15=5x-15
Use the distributive property to multiply 5 by x-3.
5x-15=15
Swap sides so that all variable terms are on the left hand side.
5x=15+15
Add 15 to both sides.
5x=30
Add 15 and 15 to get 30.
x=\frac{30}{5}
Divide both sides by 5.
x=6
Divide 30 by 5 to get 6.
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