Solve for h. You can choose to show your work below or solve on paper and then enter your answer on Zearn.

Question

2h − 6
=
−3h − 5
+
3h
+
3h

5h − 6
=
−5
+
6
+
6

5h
=
1

h
=

Answer 1

Let's solve the equation step by step.

You provided the initial equation:

\[ 2h - 6 = -3h - 5 + 3h + 3h \]

First, let's simplify the right side of the equation. Combine like terms:

\[ -3h + 3h + 3h = (-3h + 3h) + 3h = 0 + 3h = 3h \]

So, the equation now looks like:

\[ 2h - 6 = 3h - 5 \]

Next, we can isolate \( h \). Start by subtracting \( 3h \) from both sides:

\[ 2h - 3h - 6 = -5 \]

This simplifies to:

\[ -h - 6 = -5 \]

Now, add 6 to both sides:

\[ -h = -5 + 6 \]

This gives us:

\[ -h = 1 \]

To solve for \( h \), multiply both sides by -1:

\[ h = -1 \]

So, the solution is:

\[ h = -1 \]