Solve the equation. $\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }$
A) $x = \frac { 9 } { 15 }$
B) $x = \frac { 54 } { 30 }$
C) $x = \frac { 54 } { 90 }$
D) $x = \frac { 9 } { 90 }$

Question

Quizplus · Accepted Answer

To solve the equation, we can multiply both sides by the least common multiple of the denominators, which is 6x. This gives us:$$2(6) + 5(x) = 7(x)$$Simplifying this equation, we get:$$12 + 5x = 7x$$Subtracting 5x from both sides, we get:$$12 = 2x$$Dividing both sides by 2, we get:$$x = 6$$Therefore, the correct answer is C) $x = \frac { 54 } { 90 }$.

Solve the Equation 23x+56=76x\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }3x2​+65​=6x7​

Solve the Equation $\frac { 2 } { 3 x } + \frac { 5 } { 6 } = \frac { 7 } { 6 x }$