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Solve multi-step linear equations including equations with variables on both sides.
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Combine like terms and use inverse operations:
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Get all variable terms on one side:
No solution (contradiction): โ False! No value of works.
Infinitely many solutions (identity): โ Always true! Any value of works.
Multiply every term by the LCD to clear fractions:
Multiply by 12:
Multiply by a power of 10:
Multiply by 10: ,
Always check: Substitute your answer back into the original equation to verify.