x*0.1+(1-x)10=x*0.5+(1-x)*2

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Solution for x*0.1+(1-x)10=x*0.5+(1-x)*2 equation: 


Simplifying
x * 0.1 + (1 + -1x) * 10 = x * 0.5 + (1 + -1x) * 2

Reorder the terms for easier multiplication:
0.1x + (1 + -1x) * 10 = x * 0.5 + (1 + -1x) * 2

Reorder the terms for easier multiplication:
0.1x + 10(1 + -1x) = x * 0.5 + (1 + -1x) * 2
0.1x + (1 * 10 + -1x * 10) = x * 0.5 + (1 + -1x) * 2
0.1x + (10 + -10x) = x * 0.5 + (1 + -1x) * 2

Reorder the terms:
10 + 0.1x + -10x = x * 0.5 + (1 + -1x) * 2

Combine like terms: 0.1x + -10x = -9.9x
10 + -9.9x = x * 0.5 + (1 + -1x) * 2

Reorder the terms for easier multiplication:
10 + -9.9x = 0.5x + (1 + -1x) * 2

Reorder the terms for easier multiplication:
10 + -9.9x = 0.5x + 2(1 + -1x)
10 + -9.9x = 0.5x + (1 * 2 + -1x * 2)
10 + -9.9x = 0.5x + (2 + -2x)

Reorder the terms:
10 + -9.9x = 2 + 0.5x + -2x

Combine like terms: 0.5x + -2x = -1.5x
10 + -9.9x = 2 + -1.5x

Solving
10 + -9.9x = 2 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
10 + -9.9x + 1.5x = 2 + -1.5x + 1.5x

Combine like terms: -9.9x + 1.5x = -8.4x
10 + -8.4x = 2 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
10 + -8.4x = 2 + 0.0
10 + -8.4x = 2

Add '-10' to each side of the equation.
10 + -10 + -8.4x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -8.4x = 2 + -10
-8.4x = 2 + -10

Combine like terms: 2 + -10 = -8
-8.4x = -8

Divide each side by '-8.4'.
x = 0.9523809524

Simplifying
x = 0.9523809524

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