# How do you solve 6( 4+ c ) = 5( c - 5)?

Mar 16, 2018

$c = - 49$

#### Explanation:

Well, to start off, you would first use the distributive property to get rid of the parentheses from both sides.

$6 \left(4 + c\right) = 5 \left(c - 5\right)$

becomes

$24 + 6 c = 5 c - 25$

Next, you would want to isolate the variable by getting all of them to one side of the equal sign and the non-variables on the other.

So from

$24 + 6 c = 5 c - 25$

you would subtract $5 c$ from both sides and $24$ from both sides

$24 - 24 + 6 c - 5 c = 5 c - 5 c - 25 - 24$

The $24$'s cancel out and so do the $5 c$'s. You are then left with

$6 c - 5 c = - 25 - 24$

Subtract $5 c$ from $6 c$, add $- 24$ and $- 25$ together to get $- 49$, and that is your answer!

$c = - 49$