Question

What is the solution to this equation?
4x + 16 - x = 22 + 6

Answer 1

x=4

Explanation:

Simplifying

4x + 16 + -1x = 22 + 6

Reorder the terms:

16 + 4x + -1x = 22 + 6

Combine like terms: 4x + -1x = 3x

16 + 3x = 22 + 6

Combine like terms: 22 + 6 = 28

16 + 3x = 28

Solving

16 + 3x = 28

Solving for variable 'x'.

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

Add '-16' to each side of the equation.

16 + -16 + 3x = 28 + -16

Combine like terms: 16 + -16 = 0

0 + 3x = 28 + -16

3x = 28 + -16

Combine like terms: 28 + -16 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Hope this helps! And please correct me if I'm wrong so others can have the correct answer.

Answer 2

For this case we must solve the following equation:

`4x + 16-x = 22 +6`

We add similar terms on both sides of equality:

`3x + 16 = 28`

We subtract 16 from both sides of the equation:

`3x = 28-16\\3x = 12`

We divide between 3 on both sides of the equation:

`x = \frac {12} {3}\\x = 4`

ANswer:

`x = 4`