Solve x+3(28/10)-15

$$x + 3 ( \frac { 28 } { 10 } ) - 15$$

Evaluate

$$x = -\frac{33}{5} = -6\frac{3}{5} = -6.6$$

Solution Steps

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$x+3\times \frac{14}{5}-15$$

Express 3\times \frac{14}{5} as a single fraction.

$$x+\frac{3\times 14}{5}-15$$

Multiply 3 and 14 to get 42.

$$x+\frac{42}{5}-15$$

Convert 15 to fraction \frac{75}{5}.

$$x+\frac{42}{5}-\frac{75}{5}$$

Since \frac{42}{5} and \frac{75}{5} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{42-75}{5}$$

Subtract 75 from 42 to get -33.

$$x-\frac{33}{5}$$

Factor

$$\frac{5x-33}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{5x-33}{5}$$

Consider 5x+42-75. Multiply and combine like terms.

$$5x-33$$

Rewrite the complete factored expression.

$$\frac{5x-33}{5}$$