Solve the equation.
-$\frac{x+1}{4}-\frac{x-1}{7}=1$
A) $-\frac{10}{3}$
B) $\frac{17}{3}$
C) $\frac{25}{3}$
D) $-\frac{17}{11}$

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator for the fractions, which is 28. Rewrite the equation as $\frac{7(x+1) - 4(x-1)}{28} = 1$. Simplify the numerator: $7x + 7 - 4x + 4 = 3x + 11$. The equation becomes $\frac{3x + 11}{28} = 1$. Multiply both sides by 28 to get $3x + 11 = 28$. Subtract 11 from both sides: $3x = 17$. Divide by 3: $x = \frac{17}{3}$.

Solve the Equation x+14−x−17=1\frac{x+1}{4}-\frac{x-1}{7}=14x+1​−7x−1​=1 A) −103-\frac{10}{3}−310​ B) 173\frac{17}{3}317​ C) 253\frac{25}{3}325​ D) −1711-\frac{17}{11}−1117​

Solve the Equation $\frac{x+1}{4}-\frac{x-1}{7}=1$ A) $-\frac{10}{3}$ B) $\frac{17}{3}$ C) $\frac{25}{3}$ D) $-\frac{17}{11}$