Solve a+1/5/10-2+3/5/5=0

$$\frac { a + \frac { 1 } { 5 } } { 10 } - \frac { 2 + \frac { 3 } { 5 } } { 5 } = 0$$

Solve for a

$$a=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,5.

$$a+\frac{1}{5}-2\left(2+\frac{3}{5}\right)=0$$

Convert 2 to fraction \frac{10}{5}.

$$a+\frac{1}{5}-2\left(\frac{10}{5}+\frac{3}{5}\right)=0$$

Since \frac{10}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$a+\frac{1}{5}-2\times \frac{10+3}{5}=0$$

Add 10 and 3 to get 13.

$$a+\frac{1}{5}-2\times \frac{13}{5}=0$$

Express -2\times \frac{13}{5} as a single fraction.

$$a+\frac{1}{5}+\frac{-2\times 13}{5}=0$$

Multiply -2 and 13 to get -26.

$$a+\frac{1}{5}+\frac{-26}{5}=0$$

Fraction \frac{-26}{5} can be rewritten as -\frac{26}{5} by extracting the negative sign.

$$a+\frac{1}{5}-\frac{26}{5}=0$$

Since \frac{1}{5} and \frac{26}{5} have the same denominator, subtract them by subtracting their numerators.

$$a+\frac{1-26}{5}=0$$

Subtract 26 from 1 to get -25.

$$a+\frac{-25}{5}=0$$

Divide -25 by 5 to get -5.

$$a-5=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$a=5$$