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

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


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

Reorder the terms:
2(-4 + 2x) + 6 = 3 + 3x
(-4 * 2 + 2x * 2) + 6 = 3 + 3x
(-8 + 4x) + 6 = 3 + 3x

Reorder the terms:
-8 + 6 + 4x = 3 + 3x

Combine like terms: -8 + 6 = -2
-2 + 4x = 3 + 3x

Solving
-2 + 4x = 3 + 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.
-2 + 4x + -3x = 3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-2 + 1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 1x = 3 + 0
-2 + 1x = 3

Add '2' to each side of the equation.
-2 + 2 + 1x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 3 + 2
1x = 3 + 2

Combine like terms: 3 + 2 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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