Question

Solve Two-Step Linear Equations Quick Check
5 of 55 of 5 Items




Question
Solve for x
.
3−6/5x=−3
(1 point)
Responses

x=5
x equals 5

x=6
x equals 6

x=−5
x equals negative 5

x=0

Answer 1

To solve the equation \( 3 - \frac{6}{5}x = -3 \), follow these steps:

1. **Isolate the term with \( x \)**:
Subtract 3 from both sides:
\[
-\frac{6}{5}x = -3 - 3
\]
\[
-\frac{6}{5}x = -6
\]

2. **Multiply both sides by -1** to get rid of the negative sign:
\[
\frac{6}{5}x = 6
\]

3. **Multiply both sides by the reciprocal of \(\frac{6}{5}\)** (which is \(\frac{5}{6}\)):
\[
x = 6 \cdot \frac{5}{6}
\]
\[
x = 5
\]

So the solution is \( x = 5 \).

The correct response is:
**x = 5**.