Question

1. 7x + 5 = x + 5

type of solution:

Explanation:

Step1: Subtract $x$ from both sides

$7x + 5 - x = x + 5 - x$
$6x + 5 = 5$

Step2: Subtract 5 from both sides

$6x + 5 - 5 = 5 - 5$
$6x = 0$

Step3: Divide by 6 on both sides

$\frac{6x}{6} = \frac{0}{6}$
$x = 0$

Step4: Classify solution type

This equation has exactly one solution.

Answer:

$x=0$
Type of Solution: One unique solution