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\frac{x}{5}+\frac{x}{5}=10
Question
\frac{x}{5}+\frac{x}{5}=10
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Solve the equation
x=25
Evaluate
\frac{x}{5}+\frac{x}{5}=10
Multiply both sides of the equation by LCD
\left(\frac{x}{5}+\frac{x}{5}\right)\times 5=10\times 5
Simplify the equation
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Evaluate
\left(\frac{x}{5}+\frac{x}{5}\right)\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
\left(1+1\right)x
Add the numbers
2x
2x=10\times 5
Simplify the equation
2x=50
Divide both sides
\frac{2x}{2}=\frac{50}{2}
Divide the numbers
x=\frac{50}{2}
Solution
x=25
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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
2x=50
Solution
x=25
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