This understanding involves solving linear equations of forms such as or , using inverse operations in a logically justified order while preserving equality and interpreting the variable as an unknown quantity. Solutions may involve rational numbers and are checked by substitution; the scope excludes equations requiring multiple additional transformations, variables on both sides, quadratics, and other more advanced algebraic cases.
A two-step equation has two operations acting on the variable. To solve it, undo those operations in reverse order while doing the same thing to both sides.
Example:
Step 1: Undo the addition.
Since is added to , subtract from both sides:
Simplify:
Step 2: Undo the multiplication.
Since is multiplied by , divide both sides by :
Simplify:
Check the solution by substituting for in the original equation:
The statement is true, so the solution is:
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