Solve 2x+2lfloor14/5rfloor+6=0

$$2x+2 \lfloor \frac{ 14 }{ 5 } \rfloor +6 = 0$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Dividing 14 by 5 gives 2 and remainder 4. Rewrite \frac{14}{5} as 2+\frac{4}{5}.

$$2x+2\lfloor 2+\frac{4}{5}\rfloor +6=0$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 2+\frac{4}{5} is 2.

$$2x+2\times 2+6=0$$

Multiply 2 and 2 to get 4.

$$2x+4+6=0$$

Add 4 and 6 to get 10.

$$2x+10=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$2x=-10$$

Divide both sides by 2.

$$x=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$x=-5$$