Solve Two-Step Linear Equations Quick Check

Question

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.