Final answer:
The correct balance scale for the equation 3x+4=7x−6 is B) 10 = x, determined through simplification and isolating x.
Step-by-step explanation:
B) 10 = xTo find the value of x in the equation 3x+4=7x−6, we need to isolate the variable x on one side of the equation. Start by subtracting 3x from both sides: 4 = 4x-6. Then, add 6 to both sides: 10 = 4x. Finally, divide both sides by 4 to solve for x: x = 10/4 = 2.5. So, the correct balance scale is B) 10 = x.
The balance scale that shows the value of x in the equation 3x+4=7x−6 is B) 10 = x.To find the correct balance, you must simplify the equation by getting all the x-terms on one side and the constants on the other. Begin by subtracting 3x from both sides to get 4 = 4x − 6. Adding 6 to both sides yields 10 = 4x. Finally, divide by 4 to isolate x, resulting in 10 divided by 4 equals x, or 10 = x, which corresponds to option B.