Solve 3f(x)=3x+2

$$3 f ( x ) = 3 x + 2$$

Solve for f

$$f=1+\frac{2}{3x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$3xf=3x+2$$

Divide both sides by 3x.

$$\frac{3xf}{3x}=\frac{3x+2}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$f=\frac{3x+2}{3x}$$

Divide 3x+2 by 3x.

$$f=1+\frac{2}{3x}$$

Solve for x

$$x=\frac{2}{3\left(f-1\right)}$$

$$f\neq 1$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$3fx-3x=2$$

Combine all terms containing x.

$$\left(3f-3\right)x=2$$

Divide both sides by 3f-3.

$$\frac{\left(3f-3\right)x}{3f-3}=\frac{2}{3f-3}$$

Dividing by 3f-3 undoes the multiplication by 3f-3.

$$x=\frac{2}{3f-3}$$

Divide 2 by 3f-3.

$$x=\frac{2}{3\left(f-1\right)}$$