Solve 6(b-2)-23=2(b-7)

$$6 ( b - 2 ) - 23 = 2 ( b - 7 )$$

Solve for b

$$b = \frac{21}{4} = 5\frac{1}{4} = 5.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by b-2.

$$6b-12-23=2\left(b-7\right)$$

Subtract 23 from -12 to get -35.

$$6b-35=2\left(b-7\right)$$

Use the distributive property to multiply 2 by b-7.

$$6b-35=2b-14$$

Subtract 2b from both sides.

$$6b-35-2b=-14$$

Combine 6b and -2b to get 4b.

$$4b-35=-14$$

Add 35 to both sides.

$$4b=-14+35$$

Add -14 and 35 to get 21.

$$4b=21$$

Divide both sides by 4.

$$b=\frac{21}{4}$$