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

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


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

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

Reorder the terms:
-12 + 6 + 6x = 3x + 6

Combine like terms: -12 + 6 = -6
-6 + 6x = 3x + 6

Reorder the terms:
-6 + 6x = 6 + 3x

Solving
-6 + 6x = 6 + 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.
-6 + 6x + -3x = 6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-6 + 3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3x = 6 + 0
-6 + 3x = 6

Add '6' to each side of the equation.
-6 + 6 + 3x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 6 + 6
3x = 6 + 6

Combine like terms: 6 + 6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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