Final answer:
To solve the equation 1.5(12x - 10) = 0.33(9 + 6x) for x, distribute the coefficients, combine like terms, and solve for x.
Step-by-step explanation:
To solve the equation 1.5(12x - 10) = 0.33(9 + 6x) for x, you can start by distributing the coefficients on each side of the equation:
18x - 15 = 2.97 + 1.98x
Next, simplify the equation by combining like terms:
18x - 1.98x = 2.97 + 15
16.02x = 17.97
Finally, solve for x by dividing both sides of the equation by 16.02:
x = 17.97 / 16.02
So the value of x is approximately 1.12.