# How do you solve 4x + 6= 2x + 4?

##### 1 Answer
Apr 17, 2018

$x = - 1$

#### Explanation:

You have the problem:

$4 x + 6 = 2 x + 4$

Subtract $2 x$ from both sides to get

$2 x + 6 = 4$

By subtracting $2 x$ from the right side, you are only left with $4$ on that side, and by subtracting $2 x$ from $4 x$ on the left side, you are left with $2 x + 6$ on the left side.

Then subtract $6$ from both sides to get

$2 x = - 2$

Subtracting $6$ from the left side leaves you with just $2 x$ on that side. By subtracting $6$ from $4$, you are left with $- 2$ on the right side.

Finally, divide both sides by $2$ to get

$x = - 1$

Because the variable $x$ had the coefficient $2$, you had to divide it to get rid of the coefficient to find the value of $x$ and because it was divided by $2$ on one side, it had to to be done on the other to get the correct value of $x$ which is $- 1$.