0.75(5x+15)=2.9-9x+3

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Solution for 0.75(5x+15)=2.9-9x+3 equation: 


Simplifying
0.75(5x + 15) = 2.9 + -9x + 3

Reorder the terms:
0.75(15 + 5x) = 2.9 + -9x + 3
(15 * 0.75 + 5x * 0.75) = 2.9 + -9x + 3
(11.25 + 3.75x) = 2.9 + -9x + 3

Reorder the terms:
11.25 + 3.75x = 2.9 + 3 + -9x

Combine like terms: 2.9 + 3 = 5.9
11.25 + 3.75x = 5.9 + -9x

Solving
11.25 + 3.75x = 5.9 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
11.25 + 3.75x + 9x = 5.9 + -9x + 9x

Combine like terms: 3.75x + 9x = 12.75x
11.25 + 12.75x = 5.9 + -9x + 9x

Combine like terms: -9x + 9x = 0
11.25 + 12.75x = 5.9 + 0
11.25 + 12.75x = 5.9

Add '-11.25' to each side of the equation.
11.25 + -11.25 + 12.75x = 5.9 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 12.75x = 5.9 + -11.25
12.75x = 5.9 + -11.25

Combine like terms: 5.9 + -11.25 = -5.35
12.75x = -5.35

Divide each side by '12.75'.
x = -0.4196078431

Simplifying
x = -0.4196078431

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