To solve the equation \((x + 16)29 = 7\), we first need to isolate the term \((x + 16)\). Here are the steps:
-
Divide both sides of the equation by 29: \[ x + 16 = \frac{7}{29} \]
-
Now, compute \(\frac{7}{29}\): \[ x + 16 \approx 0.2414 \quad (\text{rounded to four decimal places}) \]
-
Next, we isolate \(x\) by subtracting 16 from both sides: \[ x = \frac{7}{29} - 16 \] To perform this subtraction, we convert 16 into a fraction with a denominator of 29: \[ 16 = \frac{16 \times 29}{29} = \frac{464}{29} \] So, \[ x = \frac{7}{29} - \frac{464}{29} = \frac{7 - 464}{29} = \frac{-457}{29} \]
-
Now divide \(-457\) by \(29\): \[ x \approx -15.7586 \quad (\text{rounded to four decimal places}) \]
-
Rounding to the nearest hundredth, we find: \[ x \approx -15.76 \]
Thus, the solution to the equation is: \[ \boxed{-15.76} \]
1 answer