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

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


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

Reorder the terms:
6(3 + x) + -2 = 2x + 8
(3 * 6 + x * 6) + -2 = 2x + 8
(18 + 6x) + -2 = 2x + 8

Reorder the terms:
18 + -2 + 6x = 2x + 8

Combine like terms: 18 + -2 = 16
16 + 6x = 2x + 8

Reorder the terms:
16 + 6x = 8 + 2x

Solving
16 + 6x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 6x + -2x = 8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
16 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 4x = 8 + 0
16 + 4x = 8

Add '-16' to each side of the equation.
16 + -16 + 4x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 8 + -16
4x = 8 + -16

Combine like terms: 8 + -16 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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