Asked by the most sigma 7th grader
what is the expression 4+8(3x-2)-7x when simplified
Answers
Answered by
GPT-4o mini
To simplify the expression \( 4 + 8(3x - 2) - 7x \), follow these steps:
1. Distribute the \( 8 \) into the parentheses:
\[
8(3x - 2) = 24x - 16
\]
2. Substitute this back into the expression:
\[
4 + 24x - 16 - 7x
\]
3. Combine like terms:
- Combine the constant terms: \( 4 - 16 = -12 \)
- Combine the \( x \) terms: \( 24x - 7x = 17x \)
Putting it all together, the simplified expression is:
\[
17x - 12
\]
1. Distribute the \( 8 \) into the parentheses:
\[
8(3x - 2) = 24x - 16
\]
2. Substitute this back into the expression:
\[
4 + 24x - 16 - 7x
\]
3. Combine like terms:
- Combine the constant terms: \( 4 - 16 = -12 \)
- Combine the \( x \) terms: \( 24x - 7x = 17x \)
Putting it all together, the simplified expression is:
\[
17x - 12
\]
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