Final answer:
To make x the subject of the equation h=4(x+3y)+2, subtract 2 from both sides, divide by 4, and then subtract 3y. This results in x being the subject of the equation: x = (h - 2) / 4 - 3y.
Step-by-step explanation:
To make x the subject of the equation h=4(x+3y)+2, you need to perform several steps to isolate x on one side of the equation. Here's how you can do it step by step:
- Begin with the original equation: h = 4(x + 3y) + 2.
- Subtract 2 from both sides of the equation to undo the addition: h - 2 = 4(x + 3y).
- Next, divide both sides by 4 to undo the multiplication: (h - 2) / 4 = x + 3y.
- Finally, subtract 3y from both sides to get x by itself: x = (h - 2) / 4 - 3y.
x is now the subject of the equation.