# How do you solve 4x + 7 = 6x - 1?

May 7, 2018

$x = 4$.

#### Explanation:

Start by bringing all of the variables onto one side of the equation. In this case, Let's subtract 4x from both sides to give us:

$7 = 6 x - 4 x - 1$

Perform indicated steps as allowed (subtract $4 x$ from $6 x$, giving us $2 x$). So:

$7 = 2 x - 1$

Let's get all of the non-variables onto one side of the equation, the simplest way to do this is to add $1$ to both sides:

$7 + 1 = 2 x$

Perform indicated steps as allowed (add $7$ plus $1$, giving us $8$). Now, we are looking at

$8 = 2 x$

Let's divide both sides by the coefficient of $x$ (which is $2$), and that gives us:

$4 = x$

Because the equals sign is transitive, we can also state this as

$x = 4$