Question

solve for x.

$6 = 9 - \frac{7}{2x}$

simplify your answer as much as possible.

Explanation:

Step1: Isolate the fraction term

Subtract 9 from both sides: $6 - 9 = 9 - \frac{7}{2x} - 9$
Simplify: $-3 = -\frac{7}{2x}$

Step2: Eliminate the negative signs

Multiply both sides by -1: $3 = \frac{7}{2x}$

Step3: Cross - multiply to solve for x

Cross - multiply gives: $3\times(2x)=7$
Simplify the left - hand side: $6x = 7$

Step4: Solve for x

Divide both sides by 6: $x=\frac{7}{6}$

Answer:

$\frac{7}{6}$