# How do you solve 4(x + 1) = 4x + 10?

Mar 3, 2018

No solution

#### Explanation:

First, use the distributive property on the parentheses
$4 \left(x + 1\right) = 4 x + 10$
$4 x + 4 = 4 x + 10$

Since the x values on both sides of the equation has a different number being added to them, we can conclude that this equation has no solution

Mar 3, 2018

There is no solution.

#### Explanation:

$4 \left(x + 1\right) = 4 x + 10 \text{ }$ 1.) Apply distributive property: $4 \left(x + 1\right) = 4 x + 4$

$4 x + 4 = 4 x + 10 \text{ }$ 2.) Subtract 4 from both sides
$\text{ "-4" } - 4$
$4 x = 4 x + 6$

$4 x = 4 x + 6 \text{ }$ 3.) Subtract $4 x$ from both sides and get $0 = 6$
$- 4 x \text{ } - 4 x$
$0 = 6$

After finish solving you will get the answer $0 = 6$. However, because 0 is not equal to 6, there is no solution.