Question

what the following is an equivalent simplified expression for 2(4x+7)-3(2x-4)

Answer 1

To simplify the expression \( 2(4x + 7) - 3(2x - 4) \), follow these steps:

1. Distribute \( 2 \) in the first term:
\[
2(4x + 7) = 8x + 14
\]

2. Distribute \( -3 \) in the second term:
\[
-3(2x - 4) = -6x + 12
\]

3. Now, combine the results:
\[
8x + 14 - 6x + 12
\]

4. Combine like terms:
- Combine the \( x \) terms: \( 8x - 6x = 2x \)
- Combine the constant terms: \( 14 + 12 = 26 \)

5. Thus, the simplified expression is:
\[
2x + 26
\]

So, \( 2(4x + 7) - 3(2x - 4) \) simplifies to \( \boxed{2x + 26} \).