2-3(x-17.7)+19.6=27.8

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Solution for 2-3(x-17.7)+19.6=27.8 equation: 


Simplifying
2 + -3(x + -17.7) + 19.6 = 27.8

Reorder the terms:
2 + -3(-17.7 + x) + 19.6 = 27.8
2 + (-17.7 * -3 + x * -3) + 19.6 = 27.8
2 + (53.1 + -3x) + 19.6 = 27.8

Reorder the terms:
2 + 53.1 + 19.6 + -3x = 27.8

Combine like terms: 2 + 53.1 = 55.1
55.1 + 19.6 + -3x = 27.8

Combine like terms: 55.1 + 19.6 = 74.7
74.7 + -3x = 27.8

Solving
74.7 + -3x = 27.8

Solving for variable 'x'.

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

Add '-74.7' to each side of the equation.
74.7 + -74.7 + -3x = 27.8 + -74.7

Combine like terms: 74.7 + -74.7 = 0.0
0.0 + -3x = 27.8 + -74.7
-3x = 27.8 + -74.7

Combine like terms: 27.8 + -74.7 = -46.9
-3x = -46.9

Divide each side by '-3'.
x = 15.63333333

Simplifying
x = 15.63333333

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