-7.8=10(x)+-27(1-x)

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Solution for -7.8=10(x)+-27(1-x) equation: 


Simplifying
-7.8 = 10(x) + -27(1 + -1x)
-7.8 = 10x + (1 * -27 + -1x * -27)
-7.8 = 10x + (-27 + 27x)

Reorder the terms:
-7.8 = -27 + 10x + 27x

Combine like terms: 10x + 27x = 37x
-7.8 = -27 + 37x

Solving
-7.8 = -27 + 37x

Solving for variable 'x'.

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

Add '-37x' to each side of the equation.
-7.8 + -37x = -27 + 37x + -37x

Combine like terms: 37x + -37x = 0
-7.8 + -37x = -27 + 0
-7.8 + -37x = -27

Add '7.8' to each side of the equation.
-7.8 + 7.8 + -37x = -27 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + -37x = -27 + 7.8
-37x = -27 + 7.8

Combine like terms: -27 + 7.8 = -19.2
-37x = -19.2

Divide each side by '-37'.
x = 0.5189189189

Simplifying
x = 0.5189189189

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