Solve for b. 5b + 8 - 2b = 7b. A 2 B.4/5 C.4/7 D.1/2​

b=2

Step-by-step explanation:

5b + 8 - 2b = 7b

Combine like terms

3b+8 = 7b

Subtract 3b from each side

3b+8-3b = 7b-3b

8 = 4b

Divide each side by 4

8/4 = 4b/4

2 =b

b=2

Step-by-step explanation:

Simplifying

5b + 8 + -2b = 7b

Reorder the terms:

8 + 5b + -2b = 7b

Combine like terms: 5b + -2b = 3b

8 + 3b = 7b

Solving

8 + 3b = 7b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-7b' to each side of the equation.

8 + 3b + -7b = 7b + -7b

Combine like terms: 3b + -7b = -4b

8 + -4b = 7b + -7b

Combine like terms: 7b + -7b = 0

8 + -4b = 0

Add '-8' to each side of the equation.

8 + -8 + -4b = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -4b = 0 + -8

-4b = 0 + -8

Combine like terms: 0 + -8 = -8

-4b = -8

Divide each side by '-4'.

b = 2

Simplifying

b = 2