0.16=x+0.4(x-0.1)

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Solution for 0.16=x+0.4(x-0.1) equation: 


Simplifying
0.16 = x + 0.4(x + -0.1)

Reorder the terms:
0.16 = x + 0.4(-0.1 + x)
0.16 = x + (-0.1 * 0.4 + x * 0.4)
0.16 = x + (-0.04 + 0.4x)

Reorder the terms:
0.16 = -0.04 + x + 0.4x

Combine like terms: x + 0.4x = 1.4x
0.16 = -0.04 + 1.4x

Solving
0.16 = -0.04 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
0.16 + -1.4x = -0.04 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
0.16 + -1.4x = -0.04 + 0.0
0.16 + -1.4x = -0.04

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -1.4x = -0.04 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -1.4x = -0.04 + -0.16
-1.4x = -0.04 + -0.16

Combine like terms: -0.04 + -0.16 = -0.2
-1.4x = -0.2

Divide each side by '-1.4'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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