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