3(x+2)+4.5+1.5(x-3)=15

Solution for 3(x+2)+4.5+1.5(x-3)=15 equation:

Simplifying
3(x + 2) + 4.5 + 1.5(x + -3) = 15

Reorder the terms:
3(2 + x) + 4.5 + 1.5(x + -3) = 15
(2 * 3 + x * 3) + 4.5 + 1.5(x + -3) = 15
(6 + 3x) + 4.5 + 1.5(x + -3) = 15

Reorder the terms:
6 + 3x + 4.5 + 1.5(-3 + x) = 15
6 + 3x + 4.5 + (-3 * 1.5 + x * 1.5) = 15
6 + 3x + 4.5 + (-4.5 + 1.5x) = 15

Reorder the terms:
6 + 4.5 + -4.5 + 3x + 1.5x = 15

Combine like terms: 6 + 4.5 = 10.5
10.5 + -4.5 + 3x + 1.5x = 15

Combine like terms: 10.5 + -4.5 = 6
6 + 3x + 1.5x = 15

Combine like terms: 3x + 1.5x = 4.5x
6 + 4.5x = 15

Solving
6 + 4.5x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 4.5x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 4.5x = 15 + -6
4.5x = 15 + -6

Combine like terms: 15 + -6 = 9
4.5x = 9

Divide each side by '4.5'.
x = 2

Simplifying
x = 2