4x+(x+2)+6=2(3x+8)

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Solution for 4x+(x+2)+6=2(3x+8) equation:


Simplifying
4x + (x + 2) + 6 = 2(3x + 8)

Reorder the terms:
4x + (2 + x) + 6 = 2(3x + 8)

Remove parenthesis around (2 + x)
4x + 2 + x + 6 = 2(3x + 8)

Reorder the terms:
2 + 6 + 4x + x = 2(3x + 8)

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

Combine like terms: 4x + x = 5x
8 + 5x = 2(3x + 8)

Reorder the terms:
8 + 5x = 2(8 + 3x)
8 + 5x = (8 * 2 + 3x * 2)
8 + 5x = (16 + 6x)

Solving
8 + 5x = 16 + 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.
8 + 5x + -6x = 16 + 6x + -6x

Combine like terms: 5x + -6x = -1x
8 + -1x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -1x = 16 + 0
8 + -1x = 16

Add '-8' to each side of the equation.
8 + -8 + -1x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 16 + -8
-1x = 16 + -8

Combine like terms: 16 + -8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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