Solve linear equations with variables on both sides and interpret special cases.
Translate a comparison statement into an equation
Problem
Translate “\(\text{three}~\text{times}\) a number plus \(2\) equals the number plus \(10\)” into an equation, then solve it. Report the equation and solution.
Big Picture
What this problem is really about
The word “equals” connects two complete expressions built from the same unknown. Keep each verbal group intact, join the expressions with an equals sign, and collect the variable terms on one side before undoing the constant. A substitution check should make both original expressions produce the same value.
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