6(X+4)=3(X+9)+3

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Solution for 6(X+4)=3(X+9)+3 equation:


Simplifying
6(X + 4) = 3(X + 9) + 3

Reorder the terms:
6(4 + X) = 3(X + 9) + 3
(4 * 6 + X * 6) = 3(X + 9) + 3
(24 + 6X) = 3(X + 9) + 3

Reorder the terms:
24 + 6X = 3(9 + X) + 3
24 + 6X = (9 * 3 + X * 3) + 3
24 + 6X = (27 + 3X) + 3

Reorder the terms:
24 + 6X = 27 + 3 + 3X

Combine like terms: 27 + 3 = 30
24 + 6X = 30 + 3X

Solving
24 + 6X = 30 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
24 + 6X + -3X = 30 + 3X + -3X

Combine like terms: 6X + -3X = 3X
24 + 3X = 30 + 3X + -3X

Combine like terms: 3X + -3X = 0
24 + 3X = 30 + 0
24 + 3X = 30

Add '-24' to each side of the equation.
24 + -24 + 3X = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 3X = 30 + -24
3X = 30 + -24

Combine like terms: 30 + -24 = 6
3X = 6

Divide each side by '3'.
X = 2

Simplifying
X = 2

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