Solve 15+6-3b/8-b=9

$$15 + \frac { 6 - 3 b } { 8 - b } = 9$$

Solve for b

$$b=6$$

Steps for Solving Linear Equation

Variable b cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by -b+8.

$$\left(-b+8\right)\times 15+6-3b=9\left(-b+8\right)$$

Use the distributive property to multiply -b+8 by 15.

$$-15b+120+6-3b=9\left(-b+8\right)$$

Add 120 and 6 to get 126.

$$-15b+126-3b=9\left(-b+8\right)$$

Combine -15b and -3b to get -18b.

$$-18b+126=9\left(-b+8\right)$$

Use the distributive property to multiply 9 by -b+8.

$$-18b+126=-9b+72$$

Add 9b to both sides.

$$-18b+126+9b=72$$

Combine -18b and 9b to get -9b.

$$-9b+126=72$$

Subtract 126 from both sides.

$$-9b=72-126$$

Subtract 126 from 72 to get -54.

$$-9b=-54$$

Divide both sides by -9.

$$b=\frac{-54}{-9}$$

Divide -54 by -9 to get 6.

$$b=6$$