Question

solve the equation below, where there are h terms on both sides of the equation. what’s the value of h? now there are no h terms on the left side of the equation. next, lets try to get the h term, 14h, alone on the right side. how can you get rid of the 5 on the right side of the equation so that 14h is alone on the right while keeping the equation balanced?
12 - 3h = 5 + 11h
+ 3h + 3h
12 = 5 + 14h
add 5 to both sides
subtract 5 from both sides
subtract 14h from both sides

Explanation:

Step1: Analyze the goal

We want to isolate the term with \( h \) (which is \( 14h \)) on the right side. The right side currently is \( 5 + 14h \), so we need to get rid of the \( 5 \).

Step2: Recall equation balancing

To keep the equation balanced, we perform the same operation on both sides. To eliminate \( 5 \) from the right side, we use the inverse operation of addition (since \( 5 \) is added to \( 14h \)). The inverse of addition is subtraction, so we subtract \( 5 \) from both sides.

Answer:

Subtract 5 from both sides