Problem preview
A-REI.3 Warmup M1-009-A11-V01

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: \(3x~+~2x~+~4~=~24\).

Big Picture

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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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.3
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve linear equations and inequalities in one variable, including literal linear equations.
Problem type
Solve a linear equation after combining like terms on both sides