Solve for x
x=\frac{11}{17}\approx 0.647058824
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7x-\frac{94}{17}=-1
Reduce the fraction \frac{282}{51} to lowest terms by extracting and canceling out 3.
7x=-1+\frac{94}{17}
Add \frac{94}{17} to both sides.
7x=-\frac{17}{17}+\frac{94}{17}
Convert -1 to fraction -\frac{17}{17}.
7x=\frac{-17+94}{17}
Since -\frac{17}{17} and \frac{94}{17} have the same denominator, add them by adding their numerators.
7x=\frac{77}{17}
Add -17 and 94 to get 77.
x=\frac{\frac{77}{17}}{7}
Divide both sides by 7.
x=\frac{77}{17\times 7}
Express \frac{\frac{77}{17}}{7} as a single fraction.
x=\frac{77}{119}
Multiply 17 and 7 to get 119.
x=\frac{11}{17}
Reduce the fraction \frac{77}{119} to lowest terms by extracting and canceling out 7.
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