6(x+2)=(x+6)

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Solution for 6(x+2)=(x+6) equation:


Simplifying
6(x + 2) = (x + 6)

Reorder the terms:
6(2 + x) = (x + 6)
(2 * 6 + x * 6) = (x + 6)
(12 + 6x) = (x + 6)

Reorder the terms:
12 + 6x = (6 + x)

Remove parenthesis around (6 + x)
12 + 6x = 6 + x

Solving
12 + 6x = 6 + x

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.
12 + 6x + -1x = 6 + x + -1x

Combine like terms: 6x + -1x = 5x
12 + 5x = 6 + x + -1x

Combine like terms: x + -1x = 0
12 + 5x = 6 + 0
12 + 5x = 6

Add '-12' to each side of the equation.
12 + -12 + 5x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 6 + -12
5x = 6 + -12

Combine like terms: 6 + -12 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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