Question

solve for x using the addition principle. dont forget to perform a check.

(x + 10 = -6)

Explanation:

Identify the equation and goal

We are given a basic linear equation and asked to solve for the variable \(x\).

• Given equation: \(x + 10 = -6\)
• Goal: Isolate \(x\) on one side of the equation.

Apply the addition principle

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Check the solution

To verify our solution, we substitute \(x = -16\) back into the original equation.

• Left-hand side (LHS):

$$ -16 + 10 = -6 $$

• Right-hand side (RHS):

$$ -6 $$

Since LHS = RHS, the solution is correct.

Answer:

\(x = -16\)