0.4(0.1x+0.5)=-0.4

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Solution for 0.4(0.1x+0.5)=-0.4 equation: 


Simplifying
0.4(0.1x + 0.5) = -0.4

Reorder the terms:
0.4(0.5 + 0.1x) = -0.4
(0.5 * 0.4 + 0.1x * 0.4) = -0.4
(0.2 + 0.04x) = -0.4

Solving
0.2 + 0.04x = -0.4

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.04x = -0.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.04x = -0.4 + -0.2
0.04x = -0.4 + -0.2

Combine like terms: -0.4 + -0.2 = -0.6
0.04x = -0.6

Divide each side by '0.04'.
x = -15

Simplifying
x = -15

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