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

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


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

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

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

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

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

Combine like terms: 8x + 4x = 12x
2 + 12x = 2(2x + 1) + 2(x + 2)

Reorder the terms:
2 + 12x = 2(1 + 2x) + 2(x + 2)
2 + 12x = (1 * 2 + 2x * 2) + 2(x + 2)
2 + 12x = (2 + 4x) + 2(x + 2)

Reorder the terms:
2 + 12x = 2 + 4x + 2(2 + x)
2 + 12x = 2 + 4x + (2 * 2 + x * 2)
2 + 12x = 2 + 4x + (4 + 2x)

Reorder the terms:
2 + 12x = 2 + 4 + 4x + 2x

Combine like terms: 2 + 4 = 6
2 + 12x = 6 + 4x + 2x

Combine like terms: 4x + 2x = 6x
2 + 12x = 6 + 6x

Solving
2 + 12x = 6 + 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.
2 + 12x + -6x = 6 + 6x + -6x

Combine like terms: 12x + -6x = 6x
2 + 6x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 6x = 6 + 0
2 + 6x = 6

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

Combine like terms: 2 + -2 = 0
0 + 6x = 6 + -2
6x = 6 + -2

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

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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