5.5(5.25+3.1x)=6.2(2.5x+1.9)

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Solution for 5.5(5.25+3.1x)=6.2(2.5x+1.9) equation: 


Simplifying
5.5(5.25 + 3.1x) = 6.2(2.5x + 1.9)
(5.25 * 5.5 + 3.1x * 5.5) = 6.2(2.5x + 1.9)
(28.875 + 17.05x) = 6.2(2.5x + 1.9)

Reorder the terms:
28.875 + 17.05x = 6.2(1.9 + 2.5x)
28.875 + 17.05x = (1.9 * 6.2 + 2.5x * 6.2)
28.875 + 17.05x = (11.78 + 15.5x)

Solving
28.875 + 17.05x = 11.78 + 15.5x

Solving for variable 'x'.

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

Add '-15.5x' to each side of the equation.
28.875 + 17.05x + -15.5x = 11.78 + 15.5x + -15.5x

Combine like terms: 17.05x + -15.5x = 1.55x
28.875 + 1.55x = 11.78 + 15.5x + -15.5x

Combine like terms: 15.5x + -15.5x = 0.0
28.875 + 1.55x = 11.78 + 0.0
28.875 + 1.55x = 11.78

Add '-28.875' to each side of the equation.
28.875 + -28.875 + 1.55x = 11.78 + -28.875

Combine like terms: 28.875 + -28.875 = 0.000
0.000 + 1.55x = 11.78 + -28.875
1.55x = 11.78 + -28.875

Combine like terms: 11.78 + -28.875 = -17.095
1.55x = -17.095

Divide each side by '1.55'.
x = -11.02903226

Simplifying
x = -11.02903226

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