0.9(3X+6)=1.1-(X+2)

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Solution for 0.9(3X+6)=1.1-(X+2) equation: 


Simplifying
0.9(3X + 6) = 1.1 + -1(X + 2)

Reorder the terms:
0.9(6 + 3X) = 1.1 + -1(X + 2)
(6 * 0.9 + 3X * 0.9) = 1.1 + -1(X + 2)
(5.4 + 2.7X) = 1.1 + -1(X + 2)

Reorder the terms:
5.4 + 2.7X = 1.1 + -1(2 + X)
5.4 + 2.7X = 1.1 + (2 * -1 + X * -1)
5.4 + 2.7X = 1.1 + (-2 + -1X)

Combine like terms: 1.1 + -2 = -0.9
5.4 + 2.7X = -0.9 + -1X

Solving
5.4 + 2.7X = -0.9 + -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.
5.4 + 2.7X + X = -0.9 + -1X + X

Combine like terms: 2.7X + X = 3.7X
5.4 + 3.7X = -0.9 + -1X + X

Combine like terms: -1X + X = 0
5.4 + 3.7X = -0.9 + 0
5.4 + 3.7X = -0.9

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 3.7X = -0.9 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 3.7X = -0.9 + -5.4
3.7X = -0.9 + -5.4

Combine like terms: -0.9 + -5.4 = -6.3
3.7X = -6.3

Divide each side by '3.7'.
X = -1.702702703

Simplifying
X = -1.702702703

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