Solve x=a-b-c

$$x = a - b - c$$

Solve for a

$$a=x+b+c$$

Solution Steps

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

$$a-b-c=x$$

Add b to both sides.

$$a-c=x+b$$

Add c to both sides.

$$a=x+b+c$$

Solve for b

$$b=-x+a-c$$

Steps for Solving Linear Equation

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

$$a-b-c=x$$

Subtract a from both sides.

$$-b-c=x-a$$

Add c to both sides.

$$-b=x-a+c$$

The equation is in standard form.

$$-b=x+c-a$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{x+c-a}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{x+c-a}{-1}$$

Divide x-a+c by -1.

$$b=-\left(x+c-a\right)$$