2(2x-1+2+x)=2(4x+8)

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Solution for 2(2x-1+2+x)=2(4x+8) equation:


Simplifying
2(2x + -1 + 2 + x) = 2(4x + 8)

Reorder the terms:
2(-1 + 2 + 2x + x) = 2(4x + 8)

Combine like terms: -1 + 2 = 1
2(1 + 2x + x) = 2(4x + 8)

Combine like terms: 2x + x = 3x
2(1 + 3x) = 2(4x + 8)
(1 * 2 + 3x * 2) = 2(4x + 8)
(2 + 6x) = 2(4x + 8)

Reorder the terms:
2 + 6x = 2(8 + 4x)
2 + 6x = (8 * 2 + 4x * 2)
2 + 6x = (16 + 8x)

Solving
2 + 6x = 16 + 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.
2 + 6x + -8x = 16 + 8x + -8x

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

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

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

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

Combine like terms: 16 + -2 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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