Solve 2(3b+7)=4(4b+1)

$$2 ( 3 b + 7 ) = 4 ( 4 b + 1 )$$

Solve for b

$$b=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3b+7.

$$6b+14=4\left(4b+1\right)$$

Use the distributive property to multiply 4 by 4b+1.

$$6b+14=16b+4$$

Subtract 16b from both sides.

$$6b+14-16b=4$$

Combine 6b and -16b to get -10b.

$$-10b+14=4$$

Subtract 14 from both sides.

$$-10b=4-14$$

Subtract 14 from 4 to get -10.

$$-10b=-10$$

Divide both sides by -10.

$$b=\frac{-10}{-10}$$

Divide -10 by -10 to get 1.

$$b=1$$