Final answer:
To solve for x in the equation 2x+6y-20=52, isolate x by moving the constant term to the other side of the equation, subtract 6y from both sides, and divide by 2 to find the value of x.
Step-by-step explanation:
To solve for x in the equation 2x+6y-20=52, we need to isolate the variable x on one side of the equation. First, we can start by moving the constant term to the other side of the equation by adding 20 to both sides. This gives us 2x + 6y = 72. Next, we can isolate x by subtracting 6y from both sides of the equation, resulting in 2x = 72 - 6y. Finally, we divide both sides of the equation by 2 to solve for x, which gives us the final solution x = (72 - 6y) / 2.