Solve 3/10+1/5+x=

$$\frac{ 3 }{ 10 } + \frac{ 1 }{ 5 } +x=$$

Evaluate

$$x = \frac{1}{2} = 0.5$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{1}{5} to fractions with denominator 10.

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

Since \frac{3}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+x$$

Factor

$$\frac{2x+1}{2}$$

Solution Steps

Factor out \frac{1}{10}.

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

Consider 3+2+10x. Multiply and combine like terms.

$$10x+5$$

Consider 10x+5. Factor out 5.

$$5\left(2x+1\right)$$

Rewrite the complete factored expression.

$$\frac{2x+1}{2}$$