Question

What is the value of x in the equation 2(6x+4)-6+2x=3(4x+3)+12?

a.1
b.3
c.4
d.6

Answer 1

Upon simplifying the given equation using the distributive property and performing basic algebraic operations, we determined that x = 9.5. However, this result does not match the provided options, suggesting a possible error in the calculations or the given options.

Step-by-step explanation:

To find the value of x in equation 2(6x+4)-6+2x=3(4x+3)+12, we first need to apply the distributive property and simplify both sides:

1. 2(6x+4) - 6 + 2x = 12x + 8 - 6 + 2x = 12x + 2x + 8 - 6 = 14x + 2.
2. 3(4x+3) + 12 = 12x + 9 + 12 = 12x + 21.

Now we can set up the simplified equation:
14x + 2 = 12x + 21

Subtract 12x from both sides:
14x - 12x + 2 = 12x - 12x + 21
2x + 2 = 21

Subtract 2 from both sides:
2x = 19

Divide by 2:
x = 19 / 2
x = 9.5

However, 9.5 is not one of the option choices, indicating there might be a mistake in our calculations or the given options. Therefore, we would need to review the options and calculations or clarify the question.