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

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


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

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

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

Combine like terms: 6 + 2 = 8
8 + 3x = 2(x + 6)

Reorder the terms:
8 + 3x = 2(6 + x)
8 + 3x = (6 * 2 + x * 2)
8 + 3x = (12 + 2x)

Solving
8 + 3x = 12 + 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.
8 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
8 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 1x = 12 + 0
8 + 1x = 12

Add '-8' to each side of the equation.
8 + -8 + 1x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 12 + -8
1x = 12 + -8

Combine like terms: 12 + -8 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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