Question

solve the equation below, where there are h terms on both sides of the equation. what’s the value of h?
there are many ways to solve this equation. were trying to get h alone on one side of the equation, equal to some number. we can start by first trying to get all of the h terms on the right. what move can you make first to get rid of the -3h on the left so that all of the h terms are on the right side of the equation?
12 - 3h = 5 + 11h
add 3h to both sides
add 5 and 11h on the right
subtract 3h from both sides

Explanation:

Step1: Recall Equation Solving Rules

To eliminate \(-3h\) from the left side and get all \(h\)-terms on the right, we use the addition property of equality. Adding \(3h\) to both sides will cancel \(-3h\) on the left (since \(-3h + 3h = 0\)) and add \(3h\) to the right, combining with \(11h\).

Step2: Analyze Each Option

• "Add 3h to both sides": This works. Left: \(12 - 3h + 3h = 12\), Right: \(5 + 11h + 3h = 5 + 14h\), now all \(h\)-terms are on the right.
• "Add 5 and 11h on the right": This doesn't eliminate \(-3h\) from the left.
• "Subtract 3h from both sides": Left: \(12 - 3h - 3h = 12 - 6h\), Right: \(5 + 11h - 3h = 5 + 8h\), \(h\)-terms remain on both sides.

Answer:

A. Add 3h to both sides