Question

What is the solution to the linear equation?

4b + 6 = 2 – b + 4

Answer 1

b = 0

Answer 2

Simplifying
4b + 6 = 2 + -1b + 4

Reorder the terms:
6 + 4b = 2 + -1b + 4

Reorder the terms:
6 + 4b = 2 + 4 + -1b

Combine like terms: 2 + 4 = 6
6 + 4b = 6 + -1b

Add '-6' to each side of the equation.
6 + -6 + 4b = 6 + -6 + -1b

Combine like terms: 6 + -6 = 0
0 + 4b = 6 + -6 + -1b
4b = 6 + -6 + -1b

Combine like terms: 6 + -6 = 0
4b = 0 + -1b
4b = -1b

Solving
4b = -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
4b + b = -1b + b

Combine like terms: 4b + b = 5b
5b = -1b + b

Combine like terms: -1b + b = 0
5b = 0

Divide each side by '5'.
b = 0

Simplifying
b = 0