To get rid of [tex]\(-5h\)[/tex] on the left side and put all the [tex]\(h\)[/tex] terms on the right side while maintaining balance, we need to add [tex]\(5h\)[/tex] to both sides. Here's the detailed step-by-step solution:
We start with the equation:
[tex]\[ -5h + 2 = 3h - 10 \][/tex]
To get rid of [tex]\(-5h\)[/tex] on the left side, we need to add [tex]\(5h\)[/tex] to both sides. This will move all the [tex]\(h\)[/tex] terms to the right side of the equation.
Add [tex]\(5h\)[/tex] to both sides:
[tex]\[ -5h + 2 + 5h = 3h - 10 + 5h \][/tex]
Simplify both sides:
[tex]\[ 2 = 8h - 10 \][/tex]
Now, all the [tex]\(h\)[/tex] terms are on the right side. This completes the step of moving the [tex]\(h\)[/tex] terms to the right while maintaining balance.
So, the correct move is to add [tex]\(5h\)[/tex] to both sides.
