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

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


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

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

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

Remove parenthesis around (6 + 3x)
-4 + 6x + 6 + 3x = 4x

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

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

Combine like terms: 6x + 3x = 9x
2 + 9x = 4x

Solving
2 + 9x = 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.
2 + 9x + -4x = 4x + -4x

Combine like terms: 9x + -4x = 5x
2 + 5x = 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 5x = 0

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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