Solve multi-step linear equations, including equations requiring simplification first.
Solve and check a multi-step equation
Problem
Solve \(4(x~+~1)~-~3~=~13\), then verify the solution by substitution in the original equation. Report the solution and the complete check.
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What this problem is really about
Work inward by reversing the equation's construction: undo the outside subtraction, then the multiplication, and finally the addition inside the group. For the required check, return to the untouched original equation, preserve its parentheses, substitute the computed value, and evaluate until both sides are plain numbers.
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