What is the solution to the linear equation?

4b+6=2-b+4

4b+6 = 2 - b + 4 (combine terms: 2 + 4 = 6)

4b + 6 = 6 - b (add the b to the other side to get rid of the negative)

5b + 6 = 6 (subtract 6 from one side to the other)

5b = 0 (divide by 5 on both sides)

b = 0

plug it back in

To start we need to put all the b's on the same side.

4b + 6 = 2 - b + 4

To move the b on the right side to the left side, add b to both sides.

4b + 6 + b = 2 - b + 4 + b

Simplify. 4b + b = 5b and - b + b = 0 so ...

The equation is now: 5b + 6 = 2 + 4

Now move 6 to the right side so we can isolate b.

5b + 6 - 6 = 2 + 4 - 6

Simplify.

5b = 0

Solve for b.

b = 0/5

b = 0