Solve 2b-4/5-2=b-5.5

$$\frac { 2 b - 4 } { 5 } - 2 = b - 5.5$$

Solve for b

$$b=4.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$2b-4-10=5b-27.5$$

Subtract 10 from -4 to get -14.

$$2b-14=5b-27.5$$

Subtract 5b from both sides.

$$2b-14-5b=-27.5$$

Combine 2b and -5b to get -3b.

$$-3b-14=-27.5$$

Add 14 to both sides.

$$-3b=-27.5+14$$

Add -27.5 and 14 to get -13.5.

$$-3b=-13.5$$

Divide both sides by -3.

$$b=\frac{-13.5}{-3}$$

Expand \frac{-13.5}{-3} by multiplying both numerator and the denominator by 10.

$$b=\frac{-135}{-30}$$

Reduce the fraction \frac{-135}{-30} to lowest terms by extracting and canceling out -15.

$$b=\frac{9}{2}$$