Solve 4(b+4)/3=3b-38/6

$$\frac { 4 ( b + 4 ) } { 3 } = \frac { 3 b - 38 } { 6 }$$

Solve for b

$$b=-14$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\times 4\left(b+4\right)=3b-38$$

Multiply 2 and 4 to get 8.

$$8\left(b+4\right)=3b-38$$

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

$$8b+32=3b-38$$

Subtract 3b from both sides.

$$8b+32-3b=-38$$

Combine 8b and -3b to get 5b.

$$5b+32=-38$$

Subtract 32 from both sides.

$$5b=-38-32$$

Subtract 32 from -38 to get -70.

$$5b=-70$$

Divide both sides by 5.

$$b=\frac{-70}{5}$$

Divide -70 by 5 to get -14.

$$b=-14$$