Solve 17=2(b/2+1)+2b

$$17 = 2 ( \frac { b } { 2 } + 1 ) + 2 b$$

Solve for b

$$b=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$34=4\left(\frac{b}{2}+1\right)+4b$$

Use the distributive property to multiply 4 by \frac{b}{2}+1.

$$34=4\times \frac{b}{2}+4+4b$$

Cancel out 2, the greatest common factor in 4 and 2.

$$34=2b+4+4b$$

Combine 2b and 4b to get 6b.

$$34=6b+4$$

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

$$6b+4=34$$

Subtract 4 from both sides.

$$6b=34-4$$

Subtract 4 from 34 to get 30.

$$6b=30$$

Divide both sides by 6.

$$b=\frac{30}{6}$$

Divide 30 by 6 to get 5.

$$b=5$$