Solve f-1(5)=(3x+5)/3

$$f - 1 ( 5 ) = ( 3 x + 5 ) / 3$$

Solve for f

$$f = \frac{20}{3} = 6\frac{2}{3} = 6.666666666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3f-3\times 5=3x+5$$

Multiply 3 and 5 to get 15.

$$3f-15=3x+5$$

Add 15 to both sides.

$$3f=3x+5+15$$

Add 5 and 15 to get 20.

$$3f=3x+20$$

Divide both sides by 3.

$$\frac{3f}{3}=\frac{3x+20}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$f=\frac{3x+20}{3}$$

Divide 3x+20 by 3.

$$f=x+\frac{20}{3}$$

Solve for x

$$x = -\frac{20}{3} = -6\frac{2}{3} = -6.666666666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3f-3\times 5=3x+5$$

Multiply 3 and 5 to get 15.

$$3f-15=3x+5$$

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

$$3x+5=3f-15$$

Subtract 5 from both sides.

$$3x=3f-15-5$$

Subtract 5 from -15 to get -20.

$$3x=3f-20$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{3f-20}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{3f-20}{3}$$

Divide 3f-20 by 3.

$$x=f-\frac{20}{3}$$