Question

How do you solve `-7( 3- 3x ) - 7= - 252- 7x`?

Answer 1

`x = -8`

Explanation:

To solve an equation you must perform the necessary calculations to isolate and solve for the variable, in this case `x`, while keeping the equality balanced.

First, expand the terms in parenthesis:

`(-7*3) + (-7*-3x) - 7 = -252 - 7x`

`-21 + 21x - 7 = -252 - 7x`

Next, combine like terms:

`-21 - 7 + 21x = -252 - 7x`

`-28 + 21x = -252 - 7x`

Then add `28` and `7x` to each side of the equation:

`-28 + 21x + 28 + 7x = -252 - 7x + 28 + 7x`

`28x = -224`

Finally, divide each side of the equation by `28` to calculate the solution for `x`:

`(28x)/28 = (-224)/28`

`1x = -8`

`x = -8`