0.2(x+10)-0.06(x-30)=-0.4

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Solution for 0.2(x+10)-0.06(x-30)=-0.4 equation: 


Simplifying
0.2(x + 10) + -0.06(x + -30) = -0.4

Reorder the terms:
0.2(10 + x) + -0.06(x + -30) = -0.4
(10 * 0.2 + x * 0.2) + -0.06(x + -30) = -0.4
(2 + 0.2x) + -0.06(x + -30) = -0.4

Reorder the terms:
2 + 0.2x + -0.06(-30 + x) = -0.4
2 + 0.2x + (-30 * -0.06 + x * -0.06) = -0.4
2 + 0.2x + (1.8 + -0.06x) = -0.4

Reorder the terms:
2 + 1.8 + 0.2x + -0.06x = -0.4

Combine like terms: 2 + 1.8 = 3.8
3.8 + 0.2x + -0.06x = -0.4

Combine like terms: 0.2x + -0.06x = 0.14x
3.8 + 0.14x = -0.4

Solving
3.8 + 0.14x = -0.4

Solving for variable 'x'.

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

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 0.14x = -0.4 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 0.14x = -0.4 + -3.8
0.14x = -0.4 + -3.8

Combine like terms: -0.4 + -3.8 = -4.2
0.14x = -4.2

Divide each side by '0.14'.
x = -30

Simplifying
x = -30

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