Drag justifications into the table to explain each step in solving the equation 3 (× + 3) - 2 = 5x - 7.
multiplication property of equality
combine like terms
addition property of equality
multiply by LCD
distributive property
associative property of addition
Step | Action | Reason
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1 | Distribute the 3 to both terms inside the parentheses | Distributive property
2 | Combine like terms on the left side of the equation | Combine like terms
3 | Add 2 to both sides of the equation | Addition property of equality
4 | Subtract 3x from both sides | Subtraction property of equality
5 | Subtract 5 from both sides | Subtraction property of equality
6 | Divide both sides of the equation by 2 | Division property of equality
7 | Simplify the expression on the right side of the equation | Simplification of expression
8 | Simplify the expression on the left side of the equation | Simplification of expression
9 | Solve for x | Definition of equality.