Solve multi-step linear equations, including equations requiring simplification first.
Translate a verbal multi-step equation
Problem
Translate “\(\text{twice}\) the sum of a number and \(4\) is \(18\)” into an equation that preserves the grouped sum, then solve it. Report the equation and solution.
Big Picture
What this problem is really about
Preserve the named sum before applying “twice.” The unknown and four belong inside one group, and the factor two multiplies that whole group rather than only the variable. Translate the equality, then undo the outer multiplication before removing the four inside the sum.
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