Add: 12(x+4)+14(4x−2)

To simplify the expression \(12(x+4) + 14(4x-2)\), let's first distribute the terms in each part of the expression.

1. Distributing \(12\) in \(12(x + 4)\): \[ 12(x + 4) = 12x + 48 \]

2. Distributing \(14\) in \(14(4x - 2)\): \[ 14(4x - 2) = 56x - 28 \]

Now, combine the results: \[ 12x + 48 + 56x - 28 \]

Next, combine like terms:

• Combine the \(x\) terms: \(12x + 56x = 68x\)
• Combine the constant terms: \(48 - 28 = 20\)

Putting it all together: \[ 68x + 20 \]

To express \(20\) as a mixed number, it is already a whole number and can be considered as \(20\) or \(20\frac{0}{1}\) if you wish to maintain mixed number form.

Thus, the final answer is: \[ 68x + 20 \] or just \(20\) as a mixed number.