40=0.2*x+(10-x)

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Solution for 40=0.2*x+(10-x) equation:


Simplifying
40 = 0.2x + (10 + -1x)

Remove parenthesis around (10 + -1x)
40 = 0.2x + 10 + -1x

Reorder the terms:
40 = 10 + 0.2x + -1x

Combine like terms: 0.2x + -1x = -0.8x
40 = 10 + -0.8x

Solving
40 = 10 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
40 + 0.8x = 10 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
40 + 0.8x = 10 + 0.0
40 + 0.8x = 10

Add '-40' to each side of the equation.
40 + -40 + 0.8x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 0.8x = 10 + -40
0.8x = 10 + -40

Combine like terms: 10 + -40 = -30
0.8x = -30

Divide each side by '0.8'.
x = -37.5

Simplifying
x = -37.5

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