Solve the equation.
-$$6 - \frac { 1 } { 4 x - 7 } = \frac { 5 } { 4 x - 7 }$$

Question

Quizplus · Accepted Answer

To solve the equation, first combine like terms on one side: $$6 - \frac{1}{4x-7} - \frac{5}{4x-7} = 0$$ Simplify the fractions: $$6 - \frac{6}{4x-7} = 0$$ Multiply both sides by $4x-7$ to clear the denominator: $$6(4x-7) - 6 = 0$$ Simplify: $$24x - 42 - 6 = 0$$ Combine like terms: $$24x - 48 = 0$$ Solve for $x$: $$24x = 48$$ $$x = 2$$ Therefore, the solution is $x = 2$, which corresponds to choice A.

Solve the Equation 6−14x−7=54x−76 - \frac { 1 } { 4 x - 7 } = \frac { 5 } { 4 x - 7 }6−4x−71​=4x−75​

Solve the Equation $6 - \frac { 1 } { 4 x - 7 } = \frac { 5 } { 4 x - 7 }$