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

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


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

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

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

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

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

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

Combine like terms: 9.5 + -3 = 6.5
6.5 + 2.5x + x = 15

Combine like terms: 2.5x + x = 3.5x
6.5 + 3.5x = 15

Solving
6.5 + 3.5x = 15

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 3.5x = 15 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 3.5x = 15 + -6.5
3.5x = 15 + -6.5

Combine like terms: 15 + -6.5 = 8.5
3.5x = 8.5

Divide each side by '3.5'.
x = 2.428571429

Simplifying
x = 2.428571429

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