Solve linear equations and inequalities in one variable, including literal linear equations.
Solve a linear equation by clearing denominators
Problem
Solve by clearing denominators: \(x/3~+~x/6~=~5\).
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What this problem is really about
Fractions can be removed without changing an equation’s solutions by multiplying the entire equation by a common denominator. We’ll find the least common denominator, apply it to every term—including the constant—and simplify each product before combining like terms. After solving the resulting linear equation, substitution into the original fractional form provides the strongest check.
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