(3x-2)+(x+6)+12=28

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Solution for (3x-2)+(x+6)+12=28 equation:


Simplifying
(3x + -2) + (x + 6) + 12 = 28

Reorder the terms:
(-2 + 3x) + (x + 6) + 12 = 28

Remove parenthesis around (-2 + 3x)
-2 + 3x + (x + 6) + 12 = 28

Reorder the terms:
-2 + 3x + (6 + x) + 12 = 28

Remove parenthesis around (6 + x)
-2 + 3x + 6 + x + 12 = 28

Reorder the terms:
-2 + 6 + 12 + 3x + x = 28

Combine like terms: -2 + 6 = 4
4 + 12 + 3x + x = 28

Combine like terms: 4 + 12 = 16
16 + 3x + x = 28

Combine like terms: 3x + x = 4x
16 + 4x = 28

Solving
16 + 4x = 28

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 28 + -16
4x = 28 + -16

Combine like terms: 28 + -16 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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