Question

What is the solution to the equation -3(h+5)+2=4(h+6)-9

Answer 1

The answer to your question is h=−4

Answer 2

`h=-4`

Explanation:

The equation is
`-3(h+5)+2=4(h+6)-9` we need to find the value of h.

First we are going to distribute the products.

`-3(h+5)+2=4(h+6)-9\\ -3h-15+2=4h+24-9\\ -3h-13=4h+15`

We have to put the terms with letter h in the left side of the equation and the terms without h in the right side;

`-3h-13=4h+15\\ -3h-4h=15+13`

`-7h=28`

Now, for the last step we have to divide both sides of the equation in (-7):

`-7h=28\\ ((-7)h)/((-7)) =(28)/((-7)) \\ h=-4`