Answer:
B. 4
Step-by-step explanation:
Remember the acronym: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).
P: The expressions in the parentheses are not solvable as they are.
E: There are no exponents.
M: On the left, multiply 1.5 by x, giving you 1.5x, and by 4, giving you 6. We now have 1.5x + 6 -3 on the left. On the right, do the same. Multiply 4.5 by x, giving you 4.5x, and then multiply 4.5 by -2, giving you -9. Our expression is now 1.5x + 6 - 3 = 4.5x - 9.
D: There is no division in the problem.
A: There is no addition in the problem.
S: Subtract the 3 from the 6 on the left:. We now have 1.5x + 3 = 4.5x - 9.
Now that were all simplified, lets solve. Subract 1.5x from both sides so that only one side has x, so it can be solved. We now have 3 = 3x - 9.
Add 9 to both sides, to simplify even further. We now have 12 = 3x.
For the final step, we need to isolate x. To do this, we need to get rid of the coefficient. We know that 3 and x are being multiplied, so we can just divide to undo it. Keep in mind that we need keep both sides equal, so we divide both sides. By what? By 3. Now, we have our final answer:
x = 4
