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6.4+6.4+\frac{x}{2}=\frac{51.2}{2}
Divide both sides by 2.
6.4+6.4+\frac{x}{2}=\frac{512}{20}
Expand \frac{51.2}{2} by multiplying both numerator and the denominator by 10.
6.4+6.4+\frac{x}{2}=\frac{128}{5}
Reduce the fraction \frac{512}{20} to lowest terms by extracting and canceling out 4.
64+64+5x=256
Multiply both sides of the equation by 10, the least common multiple of 2,5.
128+5x=256
Add 64 and 64 to get 128.
5x=256-128
Subtract 128 from both sides.
5x=128
Subtract 128 from 256 to get 128.
x=\frac{128}{5}
Divide both sides by 5.