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

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

Solve for b

$$b = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

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.

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

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

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

Add 120 and 6 to get 126.

$$-15b+126-3b=6\left(-b+8\right)$$

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

$$-18b+126=6\left(-b+8\right)$$

Use the distributive property to multiply 6 by -b+8.

$$-18b+126=-6b+48$$

Add 6b to both sides.

$$-18b+126+6b=48$$

Combine -18b and 6b to get -12b.

$$-12b+126=48$$

Subtract 126 from both sides.

$$-12b=48-126$$

Subtract 126 from 48 to get -78.

$$-12b=-78$$

Divide both sides by -12.

$$b=\frac{-78}{-12}$$

Reduce the fraction \frac{-78}{-12} to lowest terms by extracting and canceling out -6.

$$b=\frac{13}{2}$$