Question

Which of the following is the solution of 2x + 14 = 22? x = 4 x = 8 x = 11 x = 14

Answer 1

Simplifying

2x + -14 = 22

Reorder the terms:

-14 + 2x = 22

Solving

-14 + 2x = 22

Solving for variable 'x'.

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

Add '14' to each side of the equation.

-14 + 14 + 2x = 22 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = 22 + 14

2x = 22 + 14

Combine like terms: 22 + 14 = 36

2x = 36

Divide each side by '2'.

x = 18

Simplifying

x = 18

Explanation:

Answer 2

x=4

Explanation:

So lets look at each solution.

x=4

We have to replace the variable x in the equation with 4 since now we know it's worth.

2·4+14

8+14

=

22.

That's the solution for the equation so we already know that your answer.

Another way you can solve this is by solving the equation

2x+14=22

So lets eliminate 14.

2x+14=22

-14 -14

2x=8

Now we have to get x by itself.

2/2x =8/2

x=4

That's the same solution.

(Hope you find this useful)