Problem preview
MF.EQ.7 Warmup MF-034-A01-V01

Solve multi-step linear equations, including equations requiring simplification first.

Simplify first, then solve

Problem

Combine like terms, then solve for \(x\): \(3x~+~5~+~2x~=~25\)

Big Picture

What this problem is really about

Simplify the equation before applying inverse operations. The two x-terms are like terms, so combine their coefficients while leaving the constant separate. With one variable term remaining, remove the constant and then divide by the combined coefficient; substitution checks the original unsimplified equation.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.7
Category
Pre-Algebra
Domain
Equations
Objective
Solve multi-step linear equations, including equations requiring simplification first.
Problem type
Simplify first, then solve