# How do you solve 4x + 2= 12x + 3?

Mar 25, 2018

$x = - \frac{1}{8}$

#### Explanation:

We have:

$4 x + 2 = 12 x + 3$

$8 x + 3 = 2$

$8 x = - 1$

$x = - \frac{1}{8}$

Mar 25, 2018

$x = - \frac{1}{8}$

#### Explanation:

Solving an equation means finding all the possible values of the variable to satisfy the provided conditions.

The given equation is

$4 x + 2 = 12 x + 3$

Now let's begin with eliminating $3$ from the RHS by subtracting $3$ from both sides.

$4 x + 2 - 3 = 12 x + 3 - 3$

$4 x - 1 = 12 x$

Next, let's bring the variable terms together by subtracting $4 x$ from both sides

$4 x - 1 - 4 x = 12 x - 4 x$

$- 1 = 8 x$

By dividing by $8$ on both sides of the equation, we get

$\frac{- 1}{8} = \frac{8 x}{8}$

$- \frac{1}{8} = x$