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

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


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

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

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

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

Combine like terms: 12 + -12 = 0
0 + 2x = 12 + -12 + 6x
2x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
2x = 0 + 6x
2x = 6x

Solving
2x = 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.
2x + -6x = 6x + -6x

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

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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