0.9(8x+6)=2.5(x-3)

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Solution for 0.9(8x+6)=2.5(x-3) equation: 


Simplifying
0.9(8x + 6) = 2.5(x + -3)

Reorder the terms:
0.9(6 + 8x) = 2.5(x + -3)
(6 * 0.9 + 8x * 0.9) = 2.5(x + -3)
(5.4 + 7.2x) = 2.5(x + -3)

Reorder the terms:
5.4 + 7.2x = 2.5(-3 + x)
5.4 + 7.2x = (-3 * 2.5 + x * 2.5)
5.4 + 7.2x = (-7.5 + 2.5x)

Solving
5.4 + 7.2x = -7.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
5.4 + 7.2x + -2.5x = -7.5 + 2.5x + -2.5x

Combine like terms: 7.2x + -2.5x = 4.7x
5.4 + 4.7x = -7.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
5.4 + 4.7x = -7.5 + 0.0
5.4 + 4.7x = -7.5

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 4.7x = -7.5 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 4.7x = -7.5 + -5.4
4.7x = -7.5 + -5.4

Combine like terms: -7.5 + -5.4 = -12.9
4.7x = -12.9

Divide each side by '4.7'.
x = -2.744680851

Simplifying
x = -2.744680851

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