# How do you solve 3(x-2)+2(x+5)=5(x+1)+1?

##### 1 Answer
Jan 9, 2017

See below

There are no values of $x$ which are a solution to the problem therefore $x$ is the null set or $x = \left\{\emptyset\right\}$

#### Explanation:

Expand the terms in parenthesis:

$3 x - 6 + 2 x + 10 = 5 x + 5 + 1$

$5 x + 4 = 5 x + 6$

Subtract $5 x$ from each side of the equation:

$5 x - 5 x + 4 = 5 x - 5 x + 6$

$0 + 4 = 0 + 6$

$4 = 6$

Because $4 \ne 6$ there are no values of $x$ which are a solution to the problem therefore $x$ is the null set or $x = \left\{\emptyset\right\}$