Solve linear equations and inequalities in one variable, including literal linear equations.
Solve a linear equation after combining like terms on both sides
Problem
Solve after combining like terms on both sides: \(3x~+~2x~+~4~=~24\).
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What this problem is really about
Simplifying first makes the equation easier to solve and reduces sign errors. We’ll combine only terms with the same variable part, keep the constant separate, and then isolate the resulting variable term with inverse operations. Substituting into the unsimplified original equation will verify both the combining step and the solved value.
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