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

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


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

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

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

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

Combine like terms: 8 + 6 = 14
8 + 2x = 14 + -8x

Solving
8 + 2x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
8 + 2x + 8x = 14 + -8x + 8x

Combine like terms: 2x + 8x = 10x
8 + 10x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
8 + 10x = 14 + 0
8 + 10x = 14

Add '-8' to each side of the equation.
8 + -8 + 10x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 14 + -8
10x = 14 + -8

Combine like terms: 14 + -8 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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