# How do you solve 3(x - 4)=3x - 12?

Feb 19, 2017

$x$ can have any value

#### Explanation:

Multiply out the bracket:

$3 \left(x - 4\right) = 3 x - 12$

$3 x - 12 = 3 x - 12 \text{ } \leftarrow$ both sides are exaclty the same.

Solve as usual:

$3 x - 3 x = - 12 + 12$

$0 = 0$

While this is a correct statement, there is no $x$ left to solve for.

This answer tells us that the equation is a special type of equation called an identity which will be true for any value of $x$.