# How do you solve 0.2(7 + 2t) = 0.4t+14?

Jun 22, 2018

There are no solutions. To prove this, use the distributive property, then solve for $t$.

#### Explanation:

$0.2 \left(7 + 2 t\right) = 0.4 t + 14$
$1.4 + 0.4 t = 0.4 t + 14$

Hold on a second...

$1.4 + 0.4 t - 0.4 t = 0.4 t - 0.4 t + 14$
$1.4 \ne 14$

No solutions! This is something to keep in mind:
Just because there's an equation doesn't always mean that there's a solution.