simplify and solve

Question

3(9-8x-4x)+8(3x+4)=11

Answer 1

To simplify and solve the equation \(3(9 - 8x - 4x) + 8(3x + 4) = 11\), we start by simplifying each part of the equation.

1. Combine like terms inside the parentheses: \[ 9 - 8x - 4x = 9 - 12x \] So, we rewrite the equation: \[ 3(9 - 12x) + 8(3x + 4) = 11 \]

2. Distribute the constants: \[ 3(9) - 3(12x) + 8(3x) + 8(4) = 11 \] This becomes: \[ 27 - 36x + 24x + 32 = 11 \]

3. Combine like terms: \[ 27 + 32 - 36x + 24x = 11 \] This simplifies to: \[ 59 - 12x = 11 \]

4. Isolate the variable \(x\): \[ -12x = 11 - 59 \] So, \[ -12x = -48 \] Dividing both sides by \(-12\): \[ x = \frac{-48}{-12} = 4 \]

Thus, the solution to the equation is: \[ \boxed{4} \]