2(3x+1)+2x=6x+8

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Solution for 2(3x+1)+2x=6x+8 equation:


Simplifying
2(3x + 1) + 2x = 6x + 8

Reorder the terms:
2(1 + 3x) + 2x = 6x + 8
(1 * 2 + 3x * 2) + 2x = 6x + 8
(2 + 6x) + 2x = 6x + 8

Combine like terms: 6x + 2x = 8x
2 + 8x = 6x + 8

Reorder the terms:
2 + 8x = 8 + 6x

Solving
2 + 8x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 8x + -6x = 8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + 2x = 8 + 0
2 + 2x = 8

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

Combine like terms: 2 + -2 = 0
0 + 2x = 8 + -2
2x = 8 + -2

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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