6(X+6)+X=3(X+2)+4

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Solution for 6(X+6)+X=3(X+2)+4 equation: 


Simplifying
6(X + 6) + X = 3(X + 2) + 4

Reorder the terms:
6(6 + X) + X = 3(X + 2) + 4
(6 * 6 + X * 6) + X = 3(X + 2) + 4
(36 + 6X) + X = 3(X + 2) + 4

Combine like terms: 6X + X = 7X
36 + 7X = 3(X + 2) + 4

Reorder the terms:
36 + 7X = 3(2 + X) + 4
36 + 7X = (2 * 3 + X * 3) + 4
36 + 7X = (6 + 3X) + 4

Reorder the terms:
36 + 7X = 6 + 4 + 3X

Combine like terms: 6 + 4 = 10
36 + 7X = 10 + 3X

Solving
36 + 7X = 10 + 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.
36 + 7X + -3X = 10 + 3X + -3X

Combine like terms: 7X + -3X = 4X
36 + 4X = 10 + 3X + -3X

Combine like terms: 3X + -3X = 0
36 + 4X = 10 + 0
36 + 4X = 10

Add '-36' to each side of the equation.
36 + -36 + 4X = 10 + -36

Combine like terms: 36 + -36 = 0
0 + 4X = 10 + -36
4X = 10 + -36

Combine like terms: 10 + -36 = -26
4X = -26

Divide each side by '4'.
X = -6.5

Simplifying
X = -6.5

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