Solve 7b/2-3b/4=5b-2

$$\frac { 7 b } { 2 } - \frac { 3 b } { 4 } = 5 b - 2$$

Solve for b

$$b=\frac{8}{9}\approx 0.888888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\times 7b-3b=20b-8$$

Multiply 2 and 7 to get 14.

$$14b-3b=20b-8$$

Combine 14b and -3b to get 11b.

$$11b=20b-8$$

Subtract 20b from both sides.

$$11b-20b=-8$$

Combine 11b and -20b to get -9b.

$$-9b=-8$$

Divide both sides by -9.

$$b=\frac{-8}{-9}$$

Fraction \frac{-8}{-9} can be simplified to \frac{8}{9} by removing the negative sign from both the numerator and the denominator.

$$b=\frac{8}{9}$$