# How do you solve 6x - 5 + 8x - 6 = 8x + 6x + 11?

Apr 5, 2017

There is no solution.

#### Explanation:

Solve:

$6 x - 5 + 8 x - 6 = 8 x + 6 x + 11$

If we look carefully at both sides, you can see that $14 x$ is on both sides, which means that they will cancel each other, leaving $- 11 = 11$, which means that there is no solution to this problem.

Work it out:
Combine like terms on both sides.

$14 x - 11 = 14 x + 11$

Subtract $14 x$ from both sides.

$\textcolor{red}{\cancel{\textcolor{b l a c k}{14 x}}} - \textcolor{red}{\cancel{\textcolor{b l a c k}{14 x}}} - 11 = 11$

Simplify.

$- 11 \ne 11$

No solution.