4(x+3)-2(2)=1.5x+25.5

4x + 12 - 4 = 1.5x + 25.5

4x - 1.5x = 25.5 - 8
2.5x = 17.5
x = 17.5 / 17.5
x = ?

17.5/2.5

To solve the given equation, let's simplify both sides step by step:

1. Distribute the multiplication:
4(x + 3) = 4x + 12
-2(2) = -4

2. Substitute the simplified values in the equation:
4x + 12 - 4 = 1.5x + 25.5

3. Combine like terms:
4x + 8 = 1.5x + 25.5

4. To isolate the variable, let's subtract 1.5x from both sides:
4x - 1.5x + 8 = 1.5x - 1.5x + 25.5
2.5x + 8 = 25.5

5. Next, subtract 8 from both sides:
2.5x + 8 - 8 = 25.5 - 8
2.5x = 17.5

6. Finally, divide both sides by 2.5 to solve for x:
(2.5x) / 2.5 = 17.5 / 2.5
x = 7

Therefore, the solution to the equation 4(x + 3) - 2(2) = 1.5x + 25.5 is x = 7.