Solve b+5/3=b+8/2

$$\frac { b + 5 } { 3 } = \frac { b + 8 } { 2 }$$

Solve for b

$$b=-14$$

Steps for Solving Linear Equation

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

$$2\left(b+5\right)=3\left(b+8\right)$$

Use the distributive property to multiply 2 by b+5.

$$2b+10=3\left(b+8\right)$$

Use the distributive property to multiply 3 by b+8.

$$2b+10=3b+24$$

Subtract 3b from both sides.

$$2b+10-3b=24$$

Combine 2b and -3b to get -b.

$$-b+10=24$$

Subtract 10 from both sides.

$$-b=24-10$$

Subtract 10 from 24 to get 14.

$$-b=14$$

Multiply both sides by -1.

$$b=-14$$