Question: Solve. \[ 5x + 29(x - 3) = 219 \] \[ x = \boxed{\phantom{0}} \] (Simplify your answer…

Solve.

\[ 5x + 29(x - 3) = 219 \]

\[ x = \boxed{\phantom{0}} \]

(Simplify your answer. Type an integer or a fraction.)

Solution

The given equation is: \[ 5x + 29(x - 3) = 219 \] First, distribute the 29 on the left side: \[ 5x + 29x - 87 = 219 \] Combine like terms: \[ 34x - 87 = 219 \] Add 87 to both sides to isolate terms with \(x\): \[ 34x = 306 \] Divide both sides by 34 to solve for \(x\): \[ x = \frac{306}{34} \] Simplify the fraction: \[ x = 9 \] The solution is \(x = 9\).