2(3x+2)+2(x-1)=2(x+2)+2(x+2)

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Solution for 2(3x+2)+2(x-1)=2(x+2)+2(x+2) equation: 


Simplifying
2(3x + 2) + 2(x + -1) = 2(x + 2) + 2(x + 2)

Reorder the terms:
2(2 + 3x) + 2(x + -1) = 2(x + 2) + 2(x + 2)
(2 * 2 + 3x * 2) + 2(x + -1) = 2(x + 2) + 2(x + 2)
(4 + 6x) + 2(x + -1) = 2(x + 2) + 2(x + 2)

Reorder the terms:
4 + 6x + 2(-1 + x) = 2(x + 2) + 2(x + 2)
4 + 6x + (-1 * 2 + x * 2) = 2(x + 2) + 2(x + 2)
4 + 6x + (-2 + 2x) = 2(x + 2) + 2(x + 2)

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

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

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

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

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

Reorder the terms:
2 + 8x = 4 + 4 + 2x + 2x

Combine like terms: 4 + 4 = 8
2 + 8x = 8 + 2x + 2x

Combine like terms: 2x + 2x = 4x
2 + 8x = 8 + 4x

Solving
2 + 8x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 8x + -4x = 8 + 4x + -4x

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

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 8 + -2

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

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

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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