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

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


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

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

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
0 + 3x = 12 + -12 + 4x
3x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
3x = 0 + 4x
3x = 4x

Solving
3x = 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.
3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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