Solve 0=varepsilon-k+x

$$0 = \varepsilon - k + x$$

Solve for k

$$k=x+\epsilon$$

Steps for Solving Linear Equation

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

$$\epsilon -k+x=0$$

Subtract \epsilon from both sides. Anything subtracted from zero gives its negation.

$$-k+x=-\epsilon$$

Subtract x from both sides.

$$-k=-\epsilon -x$$

The equation is in standard form.

$$-k=-x-\epsilon$$

Divide both sides by -1.

$$\frac{-k}{-1}=\frac{-x-\epsilon }{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$k=\frac{-x-\epsilon }{-1}$$

Divide -\epsilon -x by -1.

$$k=x+\epsilon$$

Solve for x

$$x=k-\epsilon$$

Solution Steps

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

$$\epsilon -k+x=0$$

Subtract \epsilon from both sides. Anything subtracted from zero gives its negation.

$$-k+x=-\epsilon$$

Add k to both sides.

$$x=-\epsilon +k$$