2(3x+1)+2x=4(3x)

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Solution for 2(3x+1)+2x=4(3x) equation:


Simplifying
2(3x + 1) + 2x = 4(3x)

Reorder the terms:
2(1 + 3x) + 2x = 4(3x)
(1 * 2 + 3x * 2) + 2x = 4(3x)
(2 + 6x) + 2x = 4(3x)

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

Remove parenthesis around (3x)
2 + 8x = 4 * 3x

Multiply 4 * 3
2 + 8x = 12x

Solving
2 + 8x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 8x + -12x = 12x + -12x

Combine like terms: 8x + -12x = -4x
2 + -4x = 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -4x = 0

Add '-2' to each side of the equation.
2 + -2 + -4x = 0 + -2

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

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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