0.9(6x+12)=1.3-(x+2)

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Solution for 0.9(6x+12)=1.3-(x+2) equation: 


Simplifying
0.9(6x + 12) = 1.3 + -1(x + 2)

Reorder the terms:
0.9(12 + 6x) = 1.3 + -1(x + 2)
(12 * 0.9 + 6x * 0.9) = 1.3 + -1(x + 2)
(10.8 + 5.4x) = 1.3 + -1(x + 2)

Reorder the terms:
10.8 + 5.4x = 1.3 + -1(2 + x)
10.8 + 5.4x = 1.3 + (2 * -1 + x * -1)
10.8 + 5.4x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
10.8 + 5.4x = -0.7 + -1x

Solving
10.8 + 5.4x = -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.
10.8 + 5.4x + x = -0.7 + -1x + x

Combine like terms: 5.4x + x = 6.4x
10.8 + 6.4x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
10.8 + 6.4x = -0.7 + 0
10.8 + 6.4x = -0.7

Add '-10.8' to each side of the equation.
10.8 + -10.8 + 6.4x = -0.7 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + 6.4x = -0.7 + -10.8
6.4x = -0.7 + -10.8

Combine like terms: -0.7 + -10.8 = -11.5
6.4x = -11.5

Divide each side by '6.4'.
x = -1.796875

Simplifying
x = -1.796875

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