One-step linear equations express a value as related to an unknown by a single addition, subtraction, multiplication, or division operation; solving uses the inverse operation while preserving equality, and substitution verifies the resulting solution. The work includes equations with integer or simple rational numbers and connects symbolic equations to balance and algebraic reasoning; it excludes multi-step equations, variables on both sides, and cases involving identities or contradictions.
A one-step equation can be solved by using the inverse operation to isolate the variable. Whatever you do to one side, do to the other side to keep the equation balanced.
Solve:
The equation subtracts from . The inverse of subtraction is addition, so add to both sides:
Simplify:
Check the solution by substituting for in the original equation:
Since the statement is true, the solution is .
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