<h3><u>The correct answer is D.</u></h3>
I will go through each step detailing the property used.
Given the base equation, simplify and solve for x.
4(5x - 6) = 2(8x + 10)
Using the distributive property, distribute each term outside the parentheses to each term within the parentheses.
20x - 24 = 16x + 20
Next, using the subtraction property of equality, subtract 16x from both sides.
4x - 24 = 20
Now, using the addition property of equality, add 24 to both sides.
4x = 44
And finally, using the division property of equality, divide both sides by 4.
x = 11
