Question

what is a equivalent simplified expresion for 2(4x+7)-3(2x-4

Answer 1

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

1. Distribute the constants \( 2 \) and \( -3 \) into their respective parentheses:
\[
2(4x + 7) = 8x + 14
\]
\[
-3(2x - 4) = -6x + 12
\]

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

3. Next, combine like terms. First, combine the \( x \) terms:
\[
8x - 6x = 2x
\]

4. Then, combine the constant terms:
\[
14 + 12 = 26
\]

5. Putting it all together, we have:
\[
2x + 26
\]

So, the equivalent simplified expression is:
\[
\boxed{2x + 26}
\]