Solve b+2/2+2b+1/3=6

$$\frac { b + 2 } { 2 } + \frac { 2 b + 1 } { 3 } = 6$$

Solve for b

$$b=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(b+2\right)+2\left(2b+1\right)=36$$

Use the distributive property to multiply 3 by b+2.

$$3b+6+2\left(2b+1\right)=36$$

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

$$3b+6+4b+2=36$$

Combine 3b and 4b to get 7b.

$$7b+6+2=36$$

Add 6 and 2 to get 8.

$$7b+8=36$$

Subtract 8 from both sides.

$$7b=36-8$$

Subtract 8 from 36 to get 28.

$$7b=28$$

Divide both sides by 7.

$$b=\frac{28}{7}$$

Divide 28 by 7 to get 4.

$$b=4$$