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

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


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

Reorder the terms:
6 + 2x = 3(4 + 2x)
6 + 2x = (4 * 3 + 2x * 3)
6 + 2x = (12 + 6x)

Solving
6 + 2x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 2x + -6x = 12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = 12 + 0
6 + -4x = 12

Add '-6' to each side of the equation.
6 + -6 + -4x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 12 + -6
-4x = 12 + -6

Combine like terms: 12 + -6 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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