0.9(5x+15)=2.5-(x+3)

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Solution for 0.9(5x+15)=2.5-(x+3) equation: 


Simplifying
0.9(5x + 15) = 2.5 + -1(x + 3)

Reorder the terms:
0.9(15 + 5x) = 2.5 + -1(x + 3)
(15 * 0.9 + 5x * 0.9) = 2.5 + -1(x + 3)
(13.5 + 4.5x) = 2.5 + -1(x + 3)

Reorder the terms:
13.5 + 4.5x = 2.5 + -1(3 + x)
13.5 + 4.5x = 2.5 + (3 * -1 + x * -1)
13.5 + 4.5x = 2.5 + (-3 + -1x)

Combine like terms: 2.5 + -3 = -0.5
13.5 + 4.5x = -0.5 + -1x

Solving
13.5 + 4.5x = -0.5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
13.5 + 4.5x + x = -0.5 + -1x + x

Combine like terms: 4.5x + x = 5.5x
13.5 + 5.5x = -0.5 + -1x + x

Combine like terms: -1x + x = 0
13.5 + 5.5x = -0.5 + 0
13.5 + 5.5x = -0.5

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 5.5x = -0.5 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 5.5x = -0.5 + -13.5
5.5x = -0.5 + -13.5

Combine like terms: -0.5 + -13.5 = -14
5.5x = -14

Divide each side by '5.5'.
x = -2.545454545

Simplifying
x = -2.545454545

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