Solve for x
x=-\frac{25}{47}\approx -0.531914894
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8\times 6x-5\times 80=800x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 40x, the least common multiple of 5x,8x.
48x-5\times 80=800x
Multiply 8 and 6 to get 48.
48x-400=800x
Multiply -5 and 80 to get -400.
48x-400-800x=0
Subtract 800x from both sides.
-752x-400=0
Combine 48x and -800x to get -752x.
-752x=400
Add 400 to both sides. Anything plus zero gives itself.
x=\frac{400}{-752}
Divide both sides by -752.
x=-\frac{25}{47}
Reduce the fraction \frac{400}{-752} to lowest terms by extracting and canceling out 16.
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