2x+4(x+2)=2(x+3)+2(x-2)

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Solution for 2x+4(x+2)=2(x+3)+2(x-2) equation:


Simplifying
2x + 4(x + 2) = 2(x + 3) + 2(x + -2)

Reorder the terms:
2x + 4(2 + x) = 2(x + 3) + 2(x + -2)
2x + (2 * 4 + x * 4) = 2(x + 3) + 2(x + -2)
2x + (8 + 4x) = 2(x + 3) + 2(x + -2)

Reorder the terms:
8 + 2x + 4x = 2(x + 3) + 2(x + -2)

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

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

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

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

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

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

Solving
8 + 6x = 2 + 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.
8 + 6x + -4x = 2 + 4x + -4x

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

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

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

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

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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