Solve 1/22+x+1/410+x+x

$$\frac{ 1 }{ 2 } 2+x+ \frac{ 1 }{ 4 } 10+x+x$$

Evaluate

$$3x+\frac{7}{2}$$

Solution Steps

Cancel out 2 and 2.

$$1+x+\frac{1}{4}\times 10+x+x$$

Multiply \frac{1}{4} and 10 to get \frac{10}{4}.

$$1+x+\frac{10}{4}+x+x$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$1+x+\frac{5}{2}+x+x$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}+x+\frac{5}{2}+x+x$$

Since \frac{2}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{2}+x+x+x$$

Add 2 and 5 to get 7.

$$\frac{7}{2}+x+x+x$$

Combine x and x to get 2x.

$$\frac{7}{2}+2x+x$$

Combine 2x and x to get 3x.

$$\frac{7}{2}+3x$$

Factor

$$\frac{6x+7}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{7+6x}{2}$$

Consider 2+2x+5+2x+2x. Multiply and combine like terms.

$$6x+7$$

Rewrite the complete factored expression.

$$\frac{6x+7}{2}$$