Question

How do you solve `7(-4x+3)=-175`?

Answer 1

Isolate `x` by expanding the bracket, adding the like terms, and solving for `x`. In this case, `x=7`.

Explanation:

What we can first do is expand the bracket.

`7(-4x+3)=-175`

`-28x+21=-175`

Now, we can add like terms by subtracting the `24` from both sides. This eliminates the `24` from the equation so we're left with an isolated `x`-variable.

`-28x+21=-175`

`-28x+21-21=-175-21`

`-28x=-196`

Now that `x` is isolated, we simply divide `-199` by `28`.

`(-28x)/-28=(-196)/-28`

`x=196/28`

`x=7`

We can double check our work by subbing in `x=7` into the original equation.

`7(-4x+3)=-175`

`7[-4(7)+3]=-175`

`7[-28+3]=-175`

`7[-25]=-175`

`-175=-175`

Therefore, we can conclude that `x=7`.

Hope this helps :)