Solve linear equations and inequalities in one variable, including literal linear equations.
Solve a linear equation in one variable by distributing and using inverse operations
Problem
Solve the equation requiring distribution: \(2(x~+~5)~=~24\).
Big Picture
What this problem is really about
The outside factor applies to the entire grouped expression. We’ll distribute it to every term, simplify the equivalent linear equation, and then undo the remaining addition and multiplication with balanced inverse operations. Substitution into the original parenthesized form will catch either a missed distribution or an arithmetic error.
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