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5\times 2x+3=12
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x+3=12
Multiply 5 and 2 to get 10.
10x=12-3
Subtract 3 from both sides.
10x=9
Subtract 3 from 12 to get 9.
x=\frac{9}{10}
Divide both sides by 10.