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2\times 4.5+4.5x=12
Multiply both sides of the equation by 12, the least common multiple of 6,12.
9+4.5x=12
Multiply 2 and 4.5 to get 9.
4.5x=12-9
Subtract 9 from both sides.
4.5x=3
Subtract 9 from 12 to get 3.
x=\frac{3}{4.5}
Divide both sides by 4.5.
x=\frac{30}{45}
Expand \frac{3}{4.5} by multiplying both numerator and the denominator by 10.
x=\frac{2}{3}
Reduce the fraction \frac{30}{45} to lowest terms by extracting and canceling out 15.