Solve 9b-3/9=5b+5/2

$$\frac { 9 b - 3 } { 9 } = \frac { 5 b + 5 } { 2 }$$

Solve for b

$$b = -\frac{17}{9} = -1\frac{8}{9} \approx -1.888888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,2.

$$2\left(9b-3\right)=9\left(5b+5\right)$$

Use the distributive property to multiply 2 by 9b-3.

$$18b-6=9\left(5b+5\right)$$

Use the distributive property to multiply 9 by 5b+5.

$$18b-6=45b+45$$

Subtract 45b from both sides.

$$18b-6-45b=45$$

Combine 18b and -45b to get -27b.

$$-27b-6=45$$

Add 6 to both sides.

$$-27b=45+6$$

Add 45 and 6 to get 51.

$$-27b=51$$

Divide both sides by -27.

$$b=\frac{51}{-27}$$

Reduce the fraction \frac{51}{-27} to lowest terms by extracting and canceling out 3.

$$b=-\frac{17}{9}$$