Solve 9-2b+6=-3b-5+4b

$$9 - 2 b + 6 = - 3 b - 5 + 4 b$$

Solve for b

$$b = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Add 9 and 6 to get 15.

$$15-2b=-3b-5+4b$$

Combine -3b and 4b to get b.

$$15-2b=b-5$$

Subtract b from both sides.

$$15-2b-b=-5$$

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

$$15-3b=-5$$

Subtract 15 from both sides.

$$-3b=-5-15$$

Subtract 15 from -5 to get -20.

$$-3b=-20$$

Divide both sides by -3.

$$b=\frac{-20}{-3}$$

Fraction \frac{-20}{-3} can be simplified to \frac{20}{3} by removing the negative sign from both the numerator and the denominator.

$$b=\frac{20}{3}$$