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

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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

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

Multiply 2.5 * 4.5
11.25(2 + x) + 1.5(x + -3) = 15
(2 * 11.25 + x * 11.25) + 1.5(x + -3) = 15
(22.5 + 11.25x) + 1.5(x + -3) = 15

Reorder the terms:
22.5 + 11.25x + 1.5(-3 + x) = 15
22.5 + 11.25x + (-3 * 1.5 + x * 1.5) = 15
22.5 + 11.25x + (-4.5 + 1.5x) = 15

Reorder the terms:
22.5 + -4.5 + 11.25x + 1.5x = 15

Combine like terms: 22.5 + -4.5 = 18
18 + 11.25x + 1.5x = 15

Combine like terms: 11.25x + 1.5x = 12.75x
18 + 12.75x = 15

Solving
18 + 12.75x = 15

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 12.75x = 15 + -18

Combine like terms: 18 + -18 = 0
0 + 12.75x = 15 + -18
12.75x = 15 + -18

Combine like terms: 15 + -18 = -3
12.75x = -3

Divide each side by '12.75'.
x = -0.2352941176

Simplifying
x = -0.2352941176

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