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

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


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

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

Reorder the terms:
5 + 2.5x + 4.5 + 15(-3 + x) = 15
5 + 2.5x + 4.5 + (-3 * 15 + x * 15) = 15
5 + 2.5x + 4.5 + (-45 + 15x) = 15

Reorder the terms:
5 + 4.5 + -45 + 2.5x + 15x = 15

Combine like terms: 5 + 4.5 = 9.5
9.5 + -45 + 2.5x + 15x = 15

Combine like terms: 9.5 + -45 = -35.5
-35.5 + 2.5x + 15x = 15

Combine like terms: 2.5x + 15x = 17.5x
-35.5 + 17.5x = 15

Solving
-35.5 + 17.5x = 15

Solving for variable 'x'.

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

Add '35.5' to each side of the equation.
-35.5 + 35.5 + 17.5x = 15 + 35.5

Combine like terms: -35.5 + 35.5 = 0.0
0.0 + 17.5x = 15 + 35.5
17.5x = 15 + 35.5

Combine like terms: 15 + 35.5 = 50.5
17.5x = 50.5

Divide each side by '17.5'.
x = 2.885714286

Simplifying
x = 2.885714286

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