0.4(x+7)-0.1(3x+6)=-0.8

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Solution for 0.4(x+7)-0.1(3x+6)=-0.8 equation: 


Simplifying
0.4(x + 7) + -0.1(3x + 6) = -0.8

Reorder the terms:
0.4(7 + x) + -0.1(3x + 6) = -0.8
(7 * 0.4 + x * 0.4) + -0.1(3x + 6) = -0.8
(2.8 + 0.4x) + -0.1(3x + 6) = -0.8

Reorder the terms:
2.8 + 0.4x + -0.1(6 + 3x) = -0.8
2.8 + 0.4x + (6 * -0.1 + 3x * -0.1) = -0.8
2.8 + 0.4x + (-0.6 + -0.3x) = -0.8

Reorder the terms:
2.8 + -0.6 + 0.4x + -0.3x = -0.8

Combine like terms: 2.8 + -0.6 = 2.2
2.2 + 0.4x + -0.3x = -0.8

Combine like terms: 0.4x + -0.3x = 0.1x
2.2 + 0.1x = -0.8

Solving
2.2 + 0.1x = -0.8

Solving for variable 'x'.

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

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 0.1x = -0.8 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 0.1x = -0.8 + -2.2
0.1x = -0.8 + -2.2

Combine like terms: -0.8 + -2.2 = -3
0.1x = -3

Divide each side by '0.1'.
x = -30

Simplifying
x = -30

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