Question

What is the solution to the linear equation?

4b + 6 = 2 – b + 4

Answer 1

`\large\boxed{b=0}`

Explanation:

`4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0`

Answer 2

Hello!

Answer:

`\boxed{b=0}\checkmark`

The answer should have a positive sign.

Explanation:

First, switch sides and group like terms.

4b+6=-b+2+4

Then, add numbers from left/right.

2+4=6

4b+6=-b+6

Subtract by 6 both sides of an equation.

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

Simplify.

4b=-b

Next add b both sides of an equation.

4b+b=-b+b

Simplify.

5b=0

Therefore, you divide by 5 from both sides of an equation.

5b/5=0/5

Finally, you simplify and solve to find that answer is.

0/5=0

b=0 is the correct answer.

Hope this helps!

Have a nice day! :)

-Charlie

Thank you so much!