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2a-3=2\times 2a+3
Multiply both sides of the equation by 6, the least common multiple of 6,3,2.
2a-3=4a+3
Multiply 2 and 2 to get 4.
2a-3-4a=3
Subtract 4a from both sides.
-2a-3=3
Combine 2a and -4a to get -2a.
-2a=3+3
Add 3 to both sides.
-2a=6
Add 3 and 3 to get 6.
a=\frac{6}{-2}
Divide both sides by -2.
a=-3
Divide 6 by -2 to get -3.