6(x+2)=2x+2(x+1)

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Solution for 6(x+2)=2x+2(x+1) equation:


Simplifying
6(x + 2) = 2x + 2(x + 1)

Reorder the terms:
6(2 + x) = 2x + 2(x + 1)
(2 * 6 + x * 6) = 2x + 2(x + 1)
(12 + 6x) = 2x + 2(x + 1)

Reorder the terms:
12 + 6x = 2x + 2(1 + x)
12 + 6x = 2x + (1 * 2 + x * 2)
12 + 6x = 2x + (2 + 2x)

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

Combine like terms: 2x + 2x = 4x
12 + 6x = 2 + 4x

Solving
12 + 6x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 6x + -4x = 2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = 2 + 0
12 + 2x = 2

Add '-12' to each side of the equation.
12 + -12 + 2x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 2 + -12
2x = 2 + -12

Combine like terms: 2 + -12 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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