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5\times 2x-3=30
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-3=30
Multiply 5 and 2 to get 10.
10x=30+3
Add 3 to both sides.
10x=33
Add 30 and 3 to get 33.
x=\frac{33}{10}
Divide both sides by 10.