What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

I will explain step by step how to solve for x

Remove the parenthesis using distributive property
1.5(x + 4) - 3 = 4.5(x - 2)
1.5(x) + 1.5(4) = 4.5(x) - 4.5(2)
1.5x + 6 = 4.5x - 9

Combining like-terms. Move the terms whose variable x to the left side, and move constants to the right side. Plus sign will become substract sign after being moved.
1.5x + 6 = 4.5x - 9
1.5x - 4.5x = -9 - 6
-3x = -12

Move -3 to the right side to solve for x. Multiplication becomes division after being moved to the other side
-3x = -12
x = -12/-3
x = 4

The value of x is 4

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice