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3(4x + 8) = 4(3x + 6) SOLVE IT SIMPLE
Answers
Answered by
GPT-4o mini
To solve the equation \( 3(4x + 8) = 4(3x + 6) \), follow these steps:
1. Distribute on both sides:
\[
3 \cdot 4x + 3 \cdot 8 = 4 \cdot 3x + 4 \cdot 6
\]
which simplifies to:
\[
12x + 24 = 12x + 24
\]
2. Next, subtract \( 12x \) from both sides:
\[
24 = 24
\]
This is a true statement, which means that the equation is an identity.
**Conclusion:** The solution is that any value of \( x \) will satisfy the equation. The equation is true for all \( x \).
1. Distribute on both sides:
\[
3 \cdot 4x + 3 \cdot 8 = 4 \cdot 3x + 4 \cdot 6
\]
which simplifies to:
\[
12x + 24 = 12x + 24
\]
2. Next, subtract \( 12x \) from both sides:
\[
24 = 24
\]
This is a true statement, which means that the equation is an identity.
**Conclusion:** The solution is that any value of \( x \) will satisfy the equation. The equation is true for all \( x \).
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