Solve 8b+4/3=21b/10+49/2

$$\frac { 8 b + 4 } { 3 } = \frac { 21 b } { 10 } + \frac { 49 } { 2 }$$

Solve for b

$$b = \frac{695}{17} = 40\frac{15}{17} \approx 40.882352941$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,10,2.

$$10\left(8b+4\right)=3\times 21b+735$$

Use the distributive property to multiply 10 by 8b+4.

$$80b+40=3\times 21b+735$$

Multiply 3 and 21 to get 63.

$$80b+40=63b+735$$

Subtract 63b from both sides.

$$80b+40-63b=735$$

Combine 80b and -63b to get 17b.

$$17b+40=735$$

Subtract 40 from both sides.

$$17b=735-40$$

Subtract 40 from 735 to get 695.

$$17b=695$$

Divide both sides by 17.

$$b=\frac{695}{17}$$