6(x+3)=2(x+3)+12

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Solution for 6(x+3)=2(x+3)+12 equation:


Simplifying
6(x + 3) = 2(x + 3) + 12

Reorder the terms:
6(3 + x) = 2(x + 3) + 12
(3 * 6 + x * 6) = 2(x + 3) + 12
(18 + 6x) = 2(x + 3) + 12

Reorder the terms:
18 + 6x = 2(3 + x) + 12
18 + 6x = (3 * 2 + x * 2) + 12
18 + 6x = (6 + 2x) + 12

Reorder the terms:
18 + 6x = 6 + 12 + 2x

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

Add '-18' to each side of the equation.
18 + -18 + 6x = 18 + -18 + 2x

Combine like terms: 18 + -18 = 0
0 + 6x = 18 + -18 + 2x
6x = 18 + -18 + 2x

Combine like terms: 18 + -18 = 0
6x = 0 + 2x
6x = 2x

Solving
6x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6x + -2x = 2x + -2x

Combine like terms: 6x + -2x = 4x
4x = 2x + -2x

Combine like terms: 2x + -2x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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