6(x+9)+X=3(x+3)+6

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Solution for 6(x+9)+X=3(x+3)+6 equation: 


Simplifying
6(x + 9) + X = 3(x + 3) + 6

Reorder the terms:
6(9 + x) + X = 3(x + 3) + 6
(9 * 6 + x * 6) + X = 3(x + 3) + 6
(54 + 6x) + X = 3(x + 3) + 6

Reorder the terms:
54 + X + 6x = 3(x + 3) + 6

Reorder the terms:
54 + X + 6x = 3(3 + x) + 6
54 + X + 6x = (3 * 3 + x * 3) + 6
54 + X + 6x = (9 + 3x) + 6

Reorder the terms:
54 + X + 6x = 9 + 6 + 3x

Combine like terms: 9 + 6 = 15
54 + X + 6x = 15 + 3x

Solving
54 + X + 6x = 15 + 3x

Solving for variable 'X'.

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

Add '-54' to each side of the equation.
54 + X + -54 + 6x = 15 + -54 + 3x

Reorder the terms:
54 + -54 + X + 6x = 15 + -54 + 3x

Combine like terms: 54 + -54 = 0
0 + X + 6x = 15 + -54 + 3x
X + 6x = 15 + -54 + 3x

Combine like terms: 15 + -54 = -39
X + 6x = -39 + 3x

Add '-6x' to each side of the equation.
X + 6x + -6x = -39 + 3x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = -39 + 3x + -6x
X = -39 + 3x + -6x

Combine like terms: 3x + -6x = -3x
X = -39 + -3x

Simplifying
X = -39 + -3x

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