6+6(2+x)=-5x+6(x+8+5)

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Solution for 6+6(2+x)=-5x+6(x+8+5) equation:


Simplifying
6 + 6(2 + x) = -5x + 6(x + 8 + 5)
6 + (2 * 6 + x * 6) = -5x + 6(x + 8 + 5)
6 + (12 + 6x) = -5x + 6(x + 8 + 5)

Combine like terms: 6 + 12 = 18
18 + 6x = -5x + 6(x + 8 + 5)

Reorder the terms:
18 + 6x = -5x + 6(8 + 5 + x)

Combine like terms: 8 + 5 = 13
18 + 6x = -5x + 6(13 + x)
18 + 6x = -5x + (13 * 6 + x * 6)
18 + 6x = -5x + (78 + 6x)

Reorder the terms:
18 + 6x = 78 + -5x + 6x

Combine like terms: -5x + 6x = 1x
18 + 6x = 78 + 1x

Solving
18 + 6x = 78 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 6x + -1x = 78 + 1x + -1x

Combine like terms: 6x + -1x = 5x
18 + 5x = 78 + 1x + -1x

Combine like terms: 1x + -1x = 0
18 + 5x = 78 + 0
18 + 5x = 78

Add '-18' to each side of the equation.
18 + -18 + 5x = 78 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 78 + -18
5x = 78 + -18

Combine like terms: 78 + -18 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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