23(x −6)=14

Answer 1

To isolate the variable x, we can divide both sides of the equation by 23:
\( \frac{23(x-6)}{23} = \frac{14}{23} \)
This simplifies to:
\( x-6 = \frac{14}{23} \)
To solve for x, we can add 6 to both sides of the equation:
\( x = \frac{14}{23} + 6 \)
Simplifying further:
\( x = \frac{14}{23} + \frac{6}{1} = \frac{14}{23} \cdot \frac{1}{1} + \frac{6}{1} \cdot \frac{23}{23} = \frac{14}{23} + \frac{138}{23} \)
Combining the fractions:
\( x = \frac{152}{23} \)