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

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


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

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

Reorder the terms:
-6 + 3x + -2x = 6 + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = 6 + -2x

Solving
-6 + 1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 1x + 2x = 6 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-6 + 3x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 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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