0.9(3x+6)=1.3-(x+2)

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Solution for 0.9(3x+6)=1.3-(x+2) equation: 


Simplifying
0.9(3x + 6) = 1.3 + -1(x + 2)

Reorder the terms:
0.9(6 + 3x) = 1.3 + -1(x + 2)
(6 * 0.9 + 3x * 0.9) = 1.3 + -1(x + 2)
(5.4 + 2.7x) = 1.3 + -1(x + 2)

Reorder the terms:
5.4 + 2.7x = 1.3 + -1(2 + x)
5.4 + 2.7x = 1.3 + (2 * -1 + x * -1)
5.4 + 2.7x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
5.4 + 2.7x = -0.7 + -1x

Solving
5.4 + 2.7x = -0.7 + -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 = -0.7 + -1x + x

Combine like terms: 2.7x + x = 3.7x
5.4 + 3.7x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
5.4 + 3.7x = -0.7 + 0
5.4 + 3.7x = -0.7

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 3.7x = -0.7 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 3.7x = -0.7 + -5.4
3.7x = -0.7 + -5.4

Combine like terms: -0.7 + -5.4 = -6.1
3.7x = -6.1

Divide each side by '3.7'.
x = -1.648648649

Simplifying
x = -1.648648649

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