0.7(6x+12)=1.3-(x+2)

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Solution for 0.7(6x+12)=1.3-(x+2) equation: 


Simplifying
0.7(6x + 12) = 1.3 + -1(x + 2)

Reorder the terms:
0.7(12 + 6x) = 1.3 + -1(x + 2)
(12 * 0.7 + 6x * 0.7) = 1.3 + -1(x + 2)
(8.4 + 4.2x) = 1.3 + -1(x + 2)

Reorder the terms:
8.4 + 4.2x = 1.3 + -1(2 + x)
8.4 + 4.2x = 1.3 + (2 * -1 + x * -1)
8.4 + 4.2x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
8.4 + 4.2x = -0.7 + -1x

Solving
8.4 + 4.2x = -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.
8.4 + 4.2x + x = -0.7 + -1x + x

Combine like terms: 4.2x + x = 5.2x
8.4 + 5.2x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
8.4 + 5.2x = -0.7 + 0
8.4 + 5.2x = -0.7

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 5.2x = -0.7 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 5.2x = -0.7 + -8.4
5.2x = -0.7 + -8.4

Combine like terms: -0.7 + -8.4 = -9.1
5.2x = -9.1

Divide each side by '5.2'.
x = -1.75

Simplifying
x = -1.75

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