6(x+6)=5(-2x-2)-5.2

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Solution for 6(x+6)=5(-2x-2)-5.2 equation:


Simplifying
6(x + 6) = 5(-2x + -2) + -5.2

Reorder the terms:
6(6 + x) = 5(-2x + -2) + -5.2
(6 * 6 + x * 6) = 5(-2x + -2) + -5.2
(36 + 6x) = 5(-2x + -2) + -5.2

Reorder the terms:
36 + 6x = 5(-2 + -2x) + -5.2
36 + 6x = (-2 * 5 + -2x * 5) + -5.2
36 + 6x = (-10 + -10x) + -5.2

Reorder the terms:
36 + 6x = -10 + -5.2 + -10x

Combine like terms: -10 + -5.2 = -15.2
36 + 6x = -15.2 + -10x

Solving
36 + 6x = -15.2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
36 + 6x + 10x = -15.2 + -10x + 10x

Combine like terms: 6x + 10x = 16x
36 + 16x = -15.2 + -10x + 10x

Combine like terms: -10x + 10x = 0
36 + 16x = -15.2 + 0
36 + 16x = -15.2

Add '-36' to each side of the equation.
36 + -36 + 16x = -15.2 + -36

Combine like terms: 36 + -36 = 0
0 + 16x = -15.2 + -36
16x = -15.2 + -36

Combine like terms: -15.2 + -36 = -51.2
16x = -51.2

Divide each side by '16'.
x = -3.2

Simplifying
x = -3.2

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