4.2=(x*2.7)+((1-x)*19)

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Solution for 4.2=(x*2.7)+((1-x)*19) equation: 


Simplifying
4.2 = (x * 2.7) + ((1 + -1x) * 19)

Reorder the terms for easier multiplication:
4.2 = (2.7x) + ((1 + -1x) * 19)

Reorder the terms for easier multiplication:
4.2 = (2.7x) + (19(1 + -1x))
4.2 = (2.7x) + ((1 * 19 + -1x * 19))
4.2 = (2.7x) + ((19 + -19x))
4.2 = (2.7x) + (19 + -19x)

Remove parenthesis around (19 + -19x)
4.2 = (2.7x) + 19 + -19x

Reorder the terms:
4.2 = 19 + (2.7x) + -19x

Combine like terms: (2.7x) + -19x = -16.3x
4.2 = 19 + -16.3x

Solving
4.2 = 19 + -16.3x

Solving for variable 'x'.

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

Add '16.3x' to each side of the equation.
4.2 + 16.3x = 19 + -16.3x + 16.3x

Combine like terms: -16.3x + 16.3x = 0.0
4.2 + 16.3x = 19 + 0.0
4.2 + 16.3x = 19

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 16.3x = 19 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 16.3x = 19 + -4.2
16.3x = 19 + -4.2

Combine like terms: 19 + -4.2 = 14.8
16.3x = 14.8

Divide each side by '16.3'.
x = 0.9079754601

Simplifying
x = 0.9079754601

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