Solve x+(-4+-10):(-5)|+(+3+(-9):(-9)

$$x + ( - 4 + - 10 ) : ( - 5 ) | + ( + 3 + ( - 9 ) : ( - 9 )$$

Evaluate

$$x = \frac{56}{5} = 11\frac{1}{5} = 11.2$$

Solution Steps

Divide -9 by -9 to get 1.

$$x+\frac{-4-10}{-5}|3+1|$$

Subtract 10 from -4 to get -14.

$$x+\frac{-14}{-5}|3+1|$$

Fraction \frac{-14}{-5} can be simplified to \frac{14}{5} by removing the negative sign from both the numerator and the denominator.

$$x+\frac{14}{5}|3+1|$$

Add 3 and 1 to get 4.

$$x+\frac{14}{5}|4|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 4 is 4.

$$x+\frac{14}{5}\times 4$$

Express \frac{14}{5}\times 4 as a single fraction.

$$x+\frac{14\times 4}{5}$$

Multiply 14 and 4 to get 56.

$$x+\frac{56}{5}$$

Factor

$$\frac{5x+56}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{5x+56}{5}$$

Consider 5x-2\left(-2-5\right)\left(3+1\right). Multiply and combine like terms.

$$5x+56$$

Rewrite the complete factored expression.

$$\frac{5x+56}{5}$$