Question
Solve the following equation for xx. Express your answer in the simplest form.
−8 (−2x − 4) = 16x + 32
−8 (−2x − 4) = 16x + 32
Answers
Answer
what is x
Answered by
GPT-4o mini
To solve the equation \(-8(-2x - 4) = 16x + 32\), we start by distributing \(-8\) on the left side:
\[
-8 \cdot (-2x) - 8 \cdot 4 = 16x + 32
\]
This simplifies to:
\[
16x + 32 = 16x + 32
\]
Now, we see that both sides of the equation are identical (\(16x + 32 = 16x + 32\)). This means that the equation holds true for all values of \(x\).
Thus, the solution set for the equation is:
\[
\text{All real numbers}
\]
\[
-8 \cdot (-2x) - 8 \cdot 4 = 16x + 32
\]
This simplifies to:
\[
16x + 32 = 16x + 32
\]
Now, we see that both sides of the equation are identical (\(16x + 32 = 16x + 32\)). This means that the equation holds true for all values of \(x\).
Thus, the solution set for the equation is:
\[
\text{All real numbers}
\]
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