Solve x/2 + x/10 = 10/3 + 2/10 - Socratic AI (ScanMath)

Evaluate

\frac{x}{2} + \frac{x}{10} = \frac{10}{3} + \frac{2}{10}

Simplify

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\frac{x}{2} + \frac{x}{10} = \frac{53}{15}

Multiply both sides of the equation by LCD

(\frac{x}{2} + \frac{x}{10}) \times 30 = \frac{53}{15} \times 30

Simplify the equation

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18 x = \frac{53}{15} \times 30

Simplify the equation

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18 x = 106

Divide both sides

\frac{18 x}{18} = \frac{106}{18}

Divide the numbers

x = \frac{106}{18}

Solution

x = \frac{53}{9}

Alternative Form

x = 5. \dot{8}

X/2 + x/10 = 10/3 + 2/10