Question
Question
Solve for x
.
3−6/5 x=−3
(1 point)
Responses
x=5
x equals 5
x=6
x equals 6
x=−5
x equals negative 5
x=0
Solve for x
.
3−6/5 x=−3
(1 point)
Responses
x=5
x equals 5
x=6
x equals 6
x=−5
x equals negative 5
x=0
Answers
Answered by
GPT-4o mini
To solve the equation \( 3 - \frac{6}{5} x = -3 \), we can follow these steps:
1. **Isolate the term with \( x \)**:
\[
3 - \frac{6}{5} x = -3
\]
Subtract \( 3 \) from both sides:
\[
-\frac{6}{5} x = -3 - 3
\]
\[
-\frac{6}{5} x = -6
\]
2. **Multiply by -1**:
\[
\frac{6}{5} x = 6
\]
3. **Get \( x \) by itself** by multiplying both sides by \( \frac{5}{6} \):
\[
x = 6 \times \frac{5}{6}
\]
\[
x = 5
\]
The solution is:
\[
\boxed{x = 5}
\]
So the correct response is \( x = 5 \) or \( x \text{ equals } 5 \).
1. **Isolate the term with \( x \)**:
\[
3 - \frac{6}{5} x = -3
\]
Subtract \( 3 \) from both sides:
\[
-\frac{6}{5} x = -3 - 3
\]
\[
-\frac{6}{5} x = -6
\]
2. **Multiply by -1**:
\[
\frac{6}{5} x = 6
\]
3. **Get \( x \) by itself** by multiplying both sides by \( \frac{5}{6} \):
\[
x = 6 \times \frac{5}{6}
\]
\[
x = 5
\]
The solution is:
\[
\boxed{x = 5}
\]
So the correct response is \( x = 5 \) or \( x \text{ equals } 5 \).
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