Solve ax=bx+4

$$ax = bx+4$$

Solve for a

$$a=b+\frac{4}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xa=bx+4$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{bx+4}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{bx+4}{x}$$

Divide bx+4 by x.

$$a=b+\frac{4}{x}$$

Solve for b

$$b=a-\frac{4}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$bx+4=ax$$

Subtract 4 from both sides.

$$bx=ax-4$$

The equation is in standard form.

$$xb=ax-4$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{ax-4}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{ax-4}{x}$$

Divide ax-4 by x.

$$b=a-\frac{4}{x}$$