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

Answer:

$h=-4$

Step-by-step 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):

$-7h=28\\ \frac{(-7)h}{(-7)} =\frac{28}{(-7)} \\ h=-4$