Solve 2x+k=-ax5555555

$$2x+k = -ax5555555$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{2x+k}{x_{5555555}}\text{, }&x_{5555555}\neq 0\\a\in \mathrm{C}\text{, }&x=-\frac{k}{2}\text{ and }x_{5555555}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(-a\right)x_{5555555}=2x+k$$

Reorder the terms.

$$-ax_{5555555}=2x+k$$

The equation is in standard form.

$$\left(-x_{5555555}\right)a=2x+k$$

Divide both sides by -x_{5555555}.

$$\frac{\left(-x_{5555555}\right)a}{-x_{5555555}}=\frac{2x+k}{-x_{5555555}}$$

Dividing by -x_{5555555} undoes the multiplication by -x_{5555555}.

$$a=\frac{2x+k}{-x_{5555555}}$$

Divide 2x+k by -x_{5555555}.

$$a=-\frac{2x+k}{x_{5555555}}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{2x+k}{x_{5555555}}\text{, }&x_{5555555}\neq 0\\a\in \mathrm{R}\text{, }&x=-\frac{k}{2}\text{ and }x_{5555555}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\left(-a\right)x_{5555555}=2x+k$$

Reorder the terms.

$$-ax_{5555555}=2x+k$$

The equation is in standard form.

$$\left(-x_{5555555}\right)a=2x+k$$

Divide both sides by -x_{5555555}.

$$\frac{\left(-x_{5555555}\right)a}{-x_{5555555}}=\frac{2x+k}{-x_{5555555}}$$

Dividing by -x_{5555555} undoes the multiplication by -x_{5555555}.

$$a=\frac{2x+k}{-x_{5555555}}$$

Divide 2x+k by -x_{5555555}.

$$a=-\frac{2x+k}{x_{5555555}}$$

Solve for k

$$k=-\left(2x+ax_{5555555}\right)$$

Solution Steps

Subtract 2x from both sides.

$$k=\left(-a\right)x_{5555555}-2x$$

Reorder the terms.

$$k=-2x-ax_{5555555}$$