Solve 6(x-y)=f

$$6 ( x - y ) = f$$

Solve for f

$$f=6\left(x-y\right)$$

Solution Steps

Use the distributive property to multiply 6 by x-y.

$$6x-6y=f$$

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

$$f=6x-6y$$

Solve for x

$$x=\frac{f}{6}+y$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-y.

$$6x-6y=f$$

Add 6y to both sides.

$$6x=f+6y$$

The equation is in standard form.

$$6x=6y+f$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{6y+f}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{6y+f}{6}$$

Divide f+6y by 6.

$$x=\frac{f}{6}+y$$