Solve x(-14)+5.28+10/4

$$x ( - 14 ) + 5.28 + \frac { 10 } { 4 }$$

Evaluate

$$7.78-14x$$

Solution Steps

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

$$x\left(-14\right)+5.28+\frac{5}{2}$$

Convert decimal number 5.28 to fraction \frac{528}{100}. Reduce the fraction \frac{528}{100} to lowest terms by extracting and canceling out 4.

$$x\left(-14\right)+\frac{132}{25}+\frac{5}{2}$$

Least common multiple of 25 and 2 is 50. Convert \frac{132}{25} and \frac{5}{2} to fractions with denominator 50.

$$x\left(-14\right)+\frac{264}{50}+\frac{125}{50}$$

Since \frac{264}{50} and \frac{125}{50} have the same denominator, add them by adding their numerators.

$$x\left(-14\right)+\frac{264+125}{50}$$

Add 264 and 125 to get 389.

$$x\left(-14\right)+\frac{389}{50}$$

Factor

$$\frac{389-700x}{50}$$

Solution Steps

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

$$factor(x\left(-14\right)+5.28+\frac{5}{2})$$

Convert decimal number 5.28 to fraction \frac{528}{100}. Reduce the fraction \frac{528}{100} to lowest terms by extracting and canceling out 4.

$$factor(x\left(-14\right)+\frac{132}{25}+\frac{5}{2})$$

Least common multiple of 25 and 2 is 50. Convert \frac{132}{25} and \frac{5}{2} to fractions with denominator 50.

$$factor(x\left(-14\right)+\frac{264}{50}+\frac{125}{50})$$

Since \frac{264}{50} and \frac{125}{50} have the same denominator, add them by adding their numerators.

$$factor(x\left(-14\right)+\frac{264+125}{50})$$

Add 264 and 125 to get 389.

$$factor(x\left(-14\right)+\frac{389}{50})$$

Factor out \frac{1}{50}.

$$\frac{-700x+389}{50}$$