Problem preview
A-REI.3 Warmup M1-009-A01-V01

Solve linear equations and inequalities in one variable, including literal linear equations.

Solve a one- or two-step linear equation

Problem

Solve the linear equation \(3x~+~4~=~19\).

Big Picture

What this problem is really about

The variable is wrapped first by multiplication and then by addition, so the inverse operations must undo those layers in reverse order. We’ll apply each operation to both sides, isolate the variable term before removing its coefficient, and then substitute the resulting value into the untouched original equation to verify the balance.

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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 one- or two-step linear equation