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

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


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

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

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

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

Solving
6 + 2x = 8 + 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.
6 + 2x + -3x = 8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = 8 + 0
6 + -1x = 8

Add '-6' to each side of the equation.
6 + -6 + -1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 8 + -6
-1x = 8 + -6

Combine like terms: 8 + -6 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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