Solve 5(1-3b)=11-3(2b-1)

$$5 ( 1 - 3 b ) = 11 - 3 ( 2 b - 1 )$$

Solve for b

$$b=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 1-3b.

$$5-15b=11-3\left(2b-1\right)$$

Use the distributive property to multiply -3 by 2b-1.

$$5-15b=11-6b+3$$

Add 11 and 3 to get 14.

$$5-15b=14-6b$$

Add 6b to both sides.

$$5-15b+6b=14$$

Combine -15b and 6b to get -9b.

$$5-9b=14$$

Subtract 5 from both sides.

$$-9b=14-5$$

Subtract 5 from 14 to get 9.

$$-9b=9$$

Divide both sides by -9.

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

Divide 9 by -9 to get -1.

$$b=-1$$