(6x-2)=(2x+8)+(3x+9)

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Solution for (6x-2)=(2x+8)+(3x+9) equation:


Simplifying
(6x + -2) = (2x + 8) + (3x + 9)

Reorder the terms:
(-2 + 6x) = (2x + 8) + (3x + 9)

Remove parenthesis around (-2 + 6x)
-2 + 6x = (2x + 8) + (3x + 9)

Reorder the terms:
-2 + 6x = (8 + 2x) + (3x + 9)

Remove parenthesis around (8 + 2x)
-2 + 6x = 8 + 2x + (3x + 9)

Reorder the terms:
-2 + 6x = 8 + 2x + (9 + 3x)

Remove parenthesis around (9 + 3x)
-2 + 6x = 8 + 2x + 9 + 3x

Reorder the terms:
-2 + 6x = 8 + 9 + 2x + 3x

Combine like terms: 8 + 9 = 17
-2 + 6x = 17 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 6x = 17 + 5x

Solving
-2 + 6x = 17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 6x + -5x = 17 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-2 + 1x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 1x = 17 + 0
-2 + 1x = 17

Add '2' to each side of the equation.
-2 + 2 + 1x = 17 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 17 + 2
1x = 17 + 2

Combine like terms: 17 + 2 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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