Solve 2(b-3)=2-4b+4/2

$$2 ( b - 3 ) = \frac { 2 - 4 b + 4 } { 2 }$$

Solve for b

$$b = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4\left(b-3\right)=2-4b+4$$

Use the distributive property to multiply 4 by b-3.

$$4b-12=2-4b+4$$

Add 2 and 4 to get 6.

$$4b-12=6-4b$$

Add 4b to both sides.

$$4b-12+4b=6$$

Combine 4b and 4b to get 8b.

$$8b-12=6$$

Add 12 to both sides.

$$8b=6+12$$

Add 6 and 12 to get 18.

$$8b=18$$

Divide both sides by 8.

$$b=\frac{18}{8}$$

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$b=\frac{9}{4}$$