Solve Kx+8=x-7

$$K x + 8 = x - 7$$

Solve for K

$$K=\frac{x-15}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 8 from both sides.

$$Kx=x-7-8$$

Subtract 8 from -7 to get -15.

$$Kx=x-15$$

The equation is in standard form.

$$xK=x-15$$

Divide both sides by x.

$$\frac{xK}{x}=\frac{x-15}{x}$$

Dividing by x undoes the multiplication by x.

$$K=\frac{x-15}{x}$$

Solve for x

$$x=-\frac{15}{K-1}$$

$$K\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$Kx+8-x=-7$$

Subtract 8 from both sides.

$$Kx-x=-7-8$$

Subtract 8 from -7 to get -15.

$$Kx-x=-15$$

Combine all terms containing x.

$$\left(K-1\right)x=-15$$

Divide both sides by K-1.

$$\frac{\left(K-1\right)x}{K-1}=-\frac{15}{K-1}$$

Dividing by K-1 undoes the multiplication by K-1.

$$x=-\frac{15}{K-1}$$