6*(6+3x)=2*(2x+4)

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


Simplifying
6(6 + 3x) = 2(2x + 4)
(6 * 6 + 3x * 6) = 2(2x + 4)
(36 + 18x) = 2(2x + 4)

Reorder the terms:
36 + 18x = 2(4 + 2x)
36 + 18x = (4 * 2 + 2x * 2)
36 + 18x = (8 + 4x)

Solving
36 + 18x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 18x + -4x = 8 + 4x + -4x

Combine like terms: 18x + -4x = 14x
36 + 14x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 14x = 8 + 0
36 + 14x = 8

Add '-36' to each side of the equation.
36 + -36 + 14x = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 14x = 8 + -36
14x = 8 + -36

Combine like terms: 8 + -36 = -28
14x = -28

Divide each side by '14'.
x = -2

Simplifying
x = -2

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