# How do you solve 2(3x+4)-3=5+6x?

Nov 29, 2016

$x$ can have have value.

#### Explanation:

Multiply out he bracket first

$2 \left(3 x + 4\right) - 3 = 5 + 6 x$

$6 x + 8 - 3 = 5 + 6 x$

$6 x + 5 = 6 x + 5 \text{ } \leftarrow$ notice the two sides are identical

$6 x - 6 x = 5 - 5$

$0 = 0$

This is a true statement, but there is no $x$ left to solve for.
This is an indication that you are working with an identity which means it is an equation which will be true for any value of $x$.

There are infinitely many solutions.