Question
what does x equal and is there no solutions, one solution, or infinite solutions? −7(3x+3)=
−21x−21
−21x−21
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \(-7(3x + 3) = -21x - 21\), let's start by distributing on the left side.
1. Distribute \(-7\) on the left side:
\[
-7(3x + 3) = -21x - 21
\]
Simplifying that gives:
\[
-21x - 21 = -21x - 21
\]
2. Now, we have the equation:
\[
-21x - 21 = -21x - 21
\]
3. Add \(21x\) to both sides:
\[
-21 = -21
\]
This shows that the equation is always true, regardless of the value of \(x\). Since both sides are equal for any \(x\), we conclude that:
- There are **infinite solutions** to the equation.
1. Distribute \(-7\) on the left side:
\[
-7(3x + 3) = -21x - 21
\]
Simplifying that gives:
\[
-21x - 21 = -21x - 21
\]
2. Now, we have the equation:
\[
-21x - 21 = -21x - 21
\]
3. Add \(21x\) to both sides:
\[
-21 = -21
\]
This shows that the equation is always true, regardless of the value of \(x\). Since both sides are equal for any \(x\), we conclude that:
- There are **infinite solutions** to the equation.
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