Which of the following is a linear equation in the form ax + b = c (with a ≠ 0) and correctly identifies a, b, and c?

Using the balance-scale analogy, which statement correctly explains why adding the same number to both sides of an equation yields an equivalent equation?

A student attempts to solve 2x + 3 = 11 and writes:

Step 1: 2x + 3 − 2 = 11 − 2 → 2x + 1 = 9

Step 2: x = 9/2

Identify the mistake and select the correct next step.

Solve 4x + 2 = 10, verify your solution by substitution, and express the final answer in set notation.

A student claims that x = −4 is a solution to −2x + 8 = 0. Evaluate that claim by substituting and determine the correct conclusion and solution set.