Question: Solve the equation. \[ 6(4x - 2) - 23x = -2 - 3 \] \[ x = \boxed{\phantom{0}} \]

Solve the equation.

\[ 6(4x - 2) - 23x = -2 - 3 \]

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

Solution

To solve the equation: First, distribute \(6\) in the expression \(6(4x - 2)\). \[ 6(4x) - 6(2) - 23x = -2 - 3 \] Simplify the terms: \[ 24x - 12 - 23x = -5 \] Combine like terms: \[ (24x - 23x) - 12 = -5 \] \[ x - 12 = -5 \] Add 12 to both sides to solve for \(x\): \[ x = -5 + 12 \] \[ x = 7 \] So, the solution is \(x = 7\).