Solve the rational equation: (2x - 3)/(x + 4) + 7/(x + 4) = 14/(x + 4) a. x = -4, 5 b. x = -4 c. x = 5 d....

Question

5. Solve the rational equation: (2x - 3)/(x + 4) + 7/(x + 4) = 14/(x + 4) a. x = -4, 5 b. x = -4 c. x = 5 d. No solution

SnapAndSolve AI · Accepted Answer

To solve the equation, combine the fractions on the left side:

(2x - 3 + 7)/(x + 4) = 14/(x + 4)

Simplify the numerator:

(2x + 4)/(x + 4) = 14/(x + 4)

Since the denominators are the same, set the numerators equal to each other:

2x + 4 = 14

Solve for x:

Check for any restrictions: x cannot be -4 because it would make the denominator zero.

The solution is c. x = 5.

Answer