Question

$\frac{x+2}{6} = \frac{9(x+4)}{9}$
0.167
question #6
why i got it incorrect

Explanation:

Step1: Cross-multiply to eliminate denominators

$9(x+2) = 6 \times 9(x+4)$

Step2: Simplify both sides of the equation

$9x + 18 = 54(x+4)$
$9x + 18 = 54x + 216$

Step3: Isolate x terms on one side

$9x - 54x = 216 - 18$
$-45x = 198$

Step4: Solve for x

$x = \frac{198}{-45} = -\frac{22}{5} = -4.4$

Answer:

$x = -4.4$ or $x = -\frac{22}{5}$

Note: The value 0.167 does not satisfy the original equation, which is why the initial answer was incorrect. Substituting $x=0.167$ into the original equation gives $\frac{0.167+2}{6} \approx 0.361$ and $\frac{9(0.167+4)}{9} = 4.167$, which are not equal.