.4(3x+6)=1.8-(x+2)

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Solution for .4(3x+6)=1.8-(x+2) equation: 


Simplifying
0.4(3x + 6) = 1.8 + -1(x + 2)

Reorder the terms:
0.4(6 + 3x) = 1.8 + -1(x + 2)
(6 * 0.4 + 3x * 0.4) = 1.8 + -1(x + 2)
(2.4 + 1.2x) = 1.8 + -1(x + 2)

Reorder the terms:
2.4 + 1.2x = 1.8 + -1(2 + x)
2.4 + 1.2x = 1.8 + (2 * -1 + x * -1)
2.4 + 1.2x = 1.8 + (-2 + -1x)

Combine like terms: 1.8 + -2 = -0.2
2.4 + 1.2x = -0.2 + -1x

Solving
2.4 + 1.2x = -0.2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2.4 + 1.2x + x = -0.2 + -1x + x

Combine like terms: 1.2x + x = 2.2x
2.4 + 2.2x = -0.2 + -1x + x

Combine like terms: -1x + x = 0
2.4 + 2.2x = -0.2 + 0
2.4 + 2.2x = -0.2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 2.2x = -0.2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2.2x = -0.2 + -2.4
2.2x = -0.2 + -2.4

Combine like terms: -0.2 + -2.4 = -2.6
2.2x = -2.6

Divide each side by '2.2'.
x = -1.181818182

Simplifying
x = -1.181818182

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