Ethan's solution and reasoning for solving an equation are shown below: Given: Four halves times x minus ten equals thirty

Step 1: Four halves times x minus ten equals thirty Reason 1: Given
Step 2: Four halves times x minus ten plus ten equals thirty plus ten Reason 2: Addition Property of Equality
Step 3: Four halves times x equals forty Reason 3: Simplify
Step 4: Four halves times x times two fourths equals forty times two fourths Reason 4: Division Property of Equality
Step 5: x = 20 Reason 5: Simplify