0.4(x+5)-0.1(2x+6)=-0.6

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Solution for 0.4(x+5)-0.1(2x+6)=-0.6 equation:


Simplifying
0.4(x + 5) + -0.1(2x + 6) = -0.6

Reorder the terms:
0.4(5 + x) + -0.1(2x + 6) = -0.6
(5 * 0.4 + x * 0.4) + -0.1(2x + 6) = -0.6
(2 + 0.4x) + -0.1(2x + 6) = -0.6

Reorder the terms:
2 + 0.4x + -0.1(6 + 2x) = -0.6
2 + 0.4x + (6 * -0.1 + 2x * -0.1) = -0.6
2 + 0.4x + (-0.6 + -0.2x) = -0.6

Reorder the terms:
2 + -0.6 + 0.4x + -0.2x = -0.6

Combine like terms: 2 + -0.6 = 1.4
1.4 + 0.4x + -0.2x = -0.6

Combine like terms: 0.4x + -0.2x = 0.2x
1.4 + 0.2x = -0.6

Solving
1.4 + 0.2x = -0.6

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 0.2x = -0.6 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.2x = -0.6 + -1.4
0.2x = -0.6 + -1.4

Combine like terms: -0.6 + -1.4 = -2
0.2x = -2

Divide each side by '0.2'.
x = -10

Simplifying
x = -10

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