Solve a-1=2(1-b)

$$a - 1 = 2 ( 1 - b )$$

Solve for a

$$a=3-2b$$

Solution Steps

Use the distributive property to multiply 2 by 1-b.

$$a-1=2-2b$$

Add 1 to both sides.

$$a=2-2b+1$$

Add 2 and 1 to get 3.

$$a=3-2b$$

Solve for b

$$b=\frac{3-a}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 1-b.

$$a-1=2-2b$$

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

$$2-2b=a-1$$

Subtract 2 from both sides.

$$-2b=a-1-2$$

Subtract 2 from -1 to get -3.

$$-2b=a-3$$

Divide both sides by -2.

$$\frac{-2b}{-2}=\frac{a-3}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$b=\frac{a-3}{-2}$$

Divide a-3 by -2.

$$b=\frac{3-a}{2}$$