Solve a-(b-c)=12

$$a - ( b - c ) = 12$$

Solve for a

$$a=b-c+12$$

Solution Steps

To find the opposite of b-c, find the opposite of each term.

$$a-b+c=12$$

Add b to both sides.

$$a+c=12+b$$

Subtract c from both sides.

$$a=12+b-c$$

Solve for b

$$b=a+c-12$$

Steps for Solving Linear Equation

To find the opposite of b-c, find the opposite of each term.

$$a-b+c=12$$

Subtract a from both sides.

$$-b+c=12-a$$

Subtract c from both sides.

$$-b=12-a-c$$

The equation is in standard form.

$$-b=12-c-a$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{12-c-a}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{12-c-a}{-1}$$

Divide 12-a-c by -1.

$$b=a+c-12$$