0.9x+0.1(.4-x)=.4

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Solution for 0.9x+0.1(.4-x)=.4 equation: 


Simplifying
0.9x + 0.1(0.4 + -1x) = 0.4
0.9x + (0.4 * 0.1 + -1x * 0.1) = 0.4
0.9x + (0.04 + -0.1x) = 0.4

Reorder the terms:
0.04 + 0.9x + -0.1x = 0.4

Combine like terms: 0.9x + -0.1x = 0.8x
0.04 + 0.8x = 0.4

Solving
0.04 + 0.8x = 0.4

Solving for variable 'x'.

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

Add '-0.04' to each side of the equation.
0.04 + -0.04 + 0.8x = 0.4 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + 0.8x = 0.4 + -0.04
0.8x = 0.4 + -0.04

Combine like terms: 0.4 + -0.04 = 0.36
0.8x = 0.36

Divide each side by '0.8'.
x = 0.45

Simplifying
x = 0.45

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