6(x+2)=(x-2)+2(x+10)

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Solution for 6(x+2)=(x-2)+2(x+10) equation:


Simplifying
6(x + 2) = (x + -2) + 2(x + 10)

Reorder the terms:
6(2 + x) = (x + -2) + 2(x + 10)
(2 * 6 + x * 6) = (x + -2) + 2(x + 10)
(12 + 6x) = (x + -2) + 2(x + 10)

Reorder the terms:
12 + 6x = (-2 + x) + 2(x + 10)

Remove parenthesis around (-2 + x)
12 + 6x = -2 + x + 2(x + 10)

Reorder the terms:
12 + 6x = -2 + x + 2(10 + x)
12 + 6x = -2 + x + (10 * 2 + x * 2)
12 + 6x = -2 + x + (20 + 2x)

Reorder the terms:
12 + 6x = -2 + 20 + x + 2x

Combine like terms: -2 + 20 = 18
12 + 6x = 18 + x + 2x

Combine like terms: x + 2x = 3x
12 + 6x = 18 + 3x

Solving
12 + 6x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 18 + 0
12 + 3x = 18

Add '-12' to each side of the equation.
12 + -12 + 3x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 18 + -12
3x = 18 + -12

Combine like terms: 18 + -12 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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