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

Solution for 2.5(x+2)+4.5+1.5+(x-3)=15 equation:

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

Reorder the terms:
2.5(2 + x) + 4.5 + 1.5 + (x + -3) = 15
(2 * 2.5 + x * 2.5) + 4.5 + 1.5 + (x + -3) = 15
(5 + 2.5x) + 4.5 + 1.5 + (x + -3) = 15

Reorder the terms:
5 + 2.5x + 4.5 + 1.5 + (-3 + x) = 15

Remove parenthesis around (-3 + x)
5 + 2.5x + 4.5 + 1.5 + -3 + x = 15

Reorder the terms:
5 + 4.5 + 1.5 + -3 + 2.5x + x = 15

Combine like terms: 5 + 4.5 = 9.5
9.5 + 1.5 + -3 + 2.5x + x = 15

Combine like terms: 9.5 + 1.5 = 11
11 + -3 + 2.5x + x = 15

Combine like terms: 11 + -3 = 8
8 + 2.5x + x = 15

Combine like terms: 2.5x + x = 3.5x
8 + 3.5x = 15

Solving
8 + 3.5x = 15

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 3.5x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 3.5x = 15 + -8
3.5x = 15 + -8

Combine like terms: 15 + -8 = 7
3.5x = 7

Divide each side by '3.5'.
x = 2

Simplifying
x = 2