Solve \frac{x}{5}+\frac{x}{5}=10 - UpStudy

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Home Math Solver

x5+x5=10

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Differential
Integral
Trigonometry
Letters
Algebra
Calculus
Trigonometry
Matrix

Question

\frac{x}{5} + \frac{x}{5} = 10

Solve the equation

x = 25

Evaluate

\frac{x}{5} + \frac{x}{5} = 10

Multiply both sides of the equation by LCD

(\frac{x}{5} + \frac{x}{5}) \times 5 = 10 \times 5

Simplify the equation

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Evaluate

(\frac{x}{5} + \frac{x}{5}) \times 5

Apply the distributive property

\frac{x}{5} \times 5 + \frac{x}{5} \times 5

Simplify

x + x

Collect like terms by calculating the sum or difference of their coefficients

(1 + 1) x

Add the numbers

2 x

2 x = 10 \times 5

Simplify the equation

2 x = 50

Divide both sides

\frac{2 x}{2} = \frac{50}{2}

Divide the numbers

x = \frac{50}{2}

Solution

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Evaluate

\frac{50}{2}

Reduce the numbers

\frac{25}{1}

Calculate

25

x = 25

Show Solutions

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Rewrite the equation

x = 25

Evaluate

\frac{x}{5} + \frac{x}{5} = 10

Rewrite the expression

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Evaluate

\frac{x}{5} + \frac{x}{5}

Reduce the fraction

\frac{1}{5} x + \frac{x}{5}

Reduce the fraction

\frac{1}{5} x + \frac{1}{5} x

\frac{1}{5} x + \frac{1}{5} x = 10

Multiply both sides of the equation by LCD

2 x = 50

Solution

x = 25

Show Solutions

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