Question

choose an action to perform.
ways to rewrite expressions
combine like terms
perform multiplication
rewrite fractions
distribute
rewrite division as multiplication
rewrite signs
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides
$-8 + \frac{x}{3} = -10$

Explanation:

Step1: Analyze the equation

The equation is \(-8 + \frac{x}{3} = -10\). To solve for \(x\), we first need to isolate the term with \(x\). The first step is to get rid of the \(-8\) on the left side.

Step2: Choose the action

To eliminate \(-8\) from the left side, we can add \(8\) to both sides of the equation (which is the "Add to both sides" action under Equation Transformations). This will give us \(\frac{x}{3} = -10 + 8\), simplifying to \(\frac{x}{3} = -2\). Then, we can multiply both sides by \(3\) (the "Multiply both sides" action) to solve for \(x\), getting \(x = -6\). But the first action to perform is "Add to both sides" to start isolating the \(\frac{x}{3}\) term.

Answer:

Equation Transformations - Add to both sides