0.9(5x+15)=2.4(x+3)

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Solution for 0.9(5x+15)=2.4(x+3) equation: 


Simplifying
0.9(5x + 15) = 2.4(x + 3)

Reorder the terms:
0.9(15 + 5x) = 2.4(x + 3)
(15 * 0.9 + 5x * 0.9) = 2.4(x + 3)
(13.5 + 4.5x) = 2.4(x + 3)

Reorder the terms:
13.5 + 4.5x = 2.4(3 + x)
13.5 + 4.5x = (3 * 2.4 + x * 2.4)
13.5 + 4.5x = (7.2 + 2.4x)

Solving
13.5 + 4.5x = 7.2 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
13.5 + 4.5x + -2.4x = 7.2 + 2.4x + -2.4x

Combine like terms: 4.5x + -2.4x = 2.1x
13.5 + 2.1x = 7.2 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
13.5 + 2.1x = 7.2 + 0.0
13.5 + 2.1x = 7.2

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 2.1x = 7.2 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 2.1x = 7.2 + -13.5
2.1x = 7.2 + -13.5

Combine like terms: 7.2 + -13.5 = -6.3
2.1x = -6.3

Divide each side by '2.1'.
x = -3

Simplifying
x = -3

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