Question

simplify the expression 4+8(3x−2)−7x, apply the order of operations

Answer 1

To simplify the expression \( 4 + 8(3x - 2) - 7x \), we will follow the order of operations:

1. **Parentheses**: Start by distributing the \( 8 \) into the parentheses:
\[
8(3x - 2) = 8 \cdot 3x - 8 \cdot 2 = 24x - 16
\]

2. **Substitute back into the expression**:
\[
4 + (24x - 16) - 7x
\]

3. **Combine like terms**: First, combine the constant terms \( 4 \) and \( -16 \):
\[
4 - 16 = -12
\]
Now combine the \( 24x \) and \( -7x \):
\[
24x - 7x = 17x
\]

4. **Put it all together**:
\[
17x - 12
\]

Thus, the simplified expression is:
\[
\boxed{17x - 12}
\]