#### Answer

equation, solution

#### Work Step by Step

An equation is a mathematical statement that shows that two expressions are true and are connected by an equal sign.. For example, in $5x+3=4x+1$, the expressions are $5x+3$ and $4x+1$.
A solution is the value of the variable that makes the equation a true statement. It is figured out by solving for the variable, as shown below.
$5x+3=4x+1$
$(5x+3)-4x=1$
$x+3=1$
$(x+3)-3=(1)-3$
$x=-2$
The solution to the equation is -2. Too make sure you're right, insert the solution into the equation.
$5(-2)+3=4(-2)+1$
$-10+3=-8+1$
$-7=-7$✔
With the solution, both expressions equal -7, so the solution is correct.