Final answer:
To make x the subject of h=4(x+3y)+2, distribute 4 to x and 3y, isolate x on one side of the equation, and divide by 4. The final answer is x=(h-12y-2)/4.
Step-by-step explanation:
To make x the subject of h=4(x+3y)+2, we can follow these steps:
- Distribute the 4 to both x and 3y inside the parentheses, which gives us h=4x+12y+2.
- Isolate the x term by subtracting 12y+2 from both sides of the equation, resulting in h-12y-2=4x.
- Finally, divide both sides of the equation by 4 to solve for x, giving us the final answer: x=(h-12y-2)/4.