Solve for x
x=1.2
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0.5x+8x+51.2=6.3x+53.84
Use the distributive property to multiply 8 by x+6.4.
8.5x+51.2=6.3x+53.84
Combine 0.5x and 8x to get 8.5x.
8.5x+51.2-6.3x=53.84
Subtract 6.3x from both sides.
2.2x+51.2=53.84
Combine 8.5x and -6.3x to get 2.2x.
2.2x=53.84-51.2
Subtract 51.2 from both sides.
2.2x=2.64
Subtract 51.2 from 53.84 to get 2.64.
x=\frac{2.64}{2.2}
Divide both sides by 2.2.
x=\frac{264}{220}
Expand \frac{2.64}{2.2} by multiplying both numerator and the denominator by 100.
x=\frac{6}{5}
Reduce the fraction \frac{264}{220} to lowest terms by extracting and canceling out 44.
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