.1=x+(1.4(.1-x))

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Solution for .1=x+(1.4(.1-x)) equation: 


Simplifying
0.1 = x + (1.4(0.1 + -1x))
0.1 = x + ((0.1 * 1.4 + -1x * 1.4))
0.1 = x + ((0.14 + -1.4x))
0.1 = x + (0.14 + -1.4x)

Remove parenthesis around (0.14 + -1.4x)
0.1 = x + 0.14 + -1.4x

Reorder the terms:
0.1 = 0.14 + x + -1.4x

Combine like terms: x + -1.4x = -0.4x
0.1 = 0.14 + -0.4x

Solving
0.1 = 0.14 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
0.1 + 0.4x = 0.14 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
0.1 + 0.4x = 0.14 + 0.0
0.1 + 0.4x = 0.14

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.4x = 0.14 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.4x = 0.14 + -0.1
0.4x = 0.14 + -0.1

Combine like terms: 0.14 + -0.1 = 0.04
0.4x = 0.04

Divide each side by '0.4'.
x = 0.1

Simplifying
x = 0.1

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