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Solve for x. Express your answer as a proper or improper fraction in simplest terms. -(2)/(7)=-(1)/(6)x-(5)/(7) Answer: x=

Solve for x x . Express your answer as a proper or improper fraction in simplest terms.\newline−27=−16x−57 -\frac{2}{7}=-\frac{1}{6} x-\frac{5}{7} \newlineAnswer: x= x=

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Full solution

Q. Solve for x x . Express your answer as a proper or improper fraction in simplest terms.\newline−27=−16x−57 -\frac{2}{7}=-\frac{1}{6} x-\frac{5}{7} \newlineAnswer: x= x=
  1. Rewrite Equation: First, let's rewrite the equation to make it clearer:\newline−27=−16x−57-\frac{2}{7} = -\frac{1}{6}x - \frac{5}{7}
  2. Isolate Term with x: Next, we want to isolate the term containing xx on one side of the equation. To do this, we can add 57\frac{5}{7} to both sides of the equation to eliminate the constant term on the right side: −27+57=−16x−57+57-\frac{2}{7} + \frac{5}{7} = -\frac{1}{6}x - \frac{5}{7} + \frac{5}{7}
  3. Simplify Equation: Simplifying both sides of the equation gives us: (\frac{\(3\)}{\(7\)}) = -(\frac{\(1\)}{\(6\)})x
  4. Divide by Coefficient: Now, to solve for \(x, we need to get rid of the coefficient −16-\frac{1}{6} that is multiplying xx. We can do this by dividing both sides of the equation by −16-\frac{1}{6}, which is the same as multiplying by the reciprocal, −61-\frac{6}{1}:37×(−61)=x\frac{3}{7} \times \left(-\frac{6}{1}\right) = x
  5. Calculate xx: Multiplying the fractions gives us the value of xx:x=−187x = -\frac{18}{7}

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