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(x + 2)

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

Reorder the terms:
10.8 + 5.4x = 1.3(2 + x)
10.8 + 5.4x = (2 * 1.3 + x * 1.3)
10.8 + 5.4x = (2.6 + 1.3x)

Solving
10.8 + 5.4x = 2.6 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
10.8 + 5.4x + -1.3x = 2.6 + 1.3x + -1.3x

Combine like terms: 5.4x + -1.3x = 4.1x
10.8 + 4.1x = 2.6 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
10.8 + 4.1x = 2.6 + 0.0
10.8 + 4.1x = 2.6

Add '-10.8' to each side of the equation.
10.8 + -10.8 + 4.1x = 2.6 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + 4.1x = 2.6 + -10.8
4.1x = 2.6 + -10.8

Combine like terms: 2.6 + -10.8 = -8.2
4.1x = -8.2

Divide each side by '4.1'.
x = -2

Simplifying
x = -2

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