4(2x+2)+2(2x-4)=2(x+3)+3(2x+6)

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Solution for 4(2x+2)+2(2x-4)=2(x+3)+3(2x+6) equation:


Simplifying
4(2x + 2) + 2(2x + -4) = 2(x + 3) + 3(2x + 6)

Reorder the terms:
4(2 + 2x) + 2(2x + -4) = 2(x + 3) + 3(2x + 6)
(2 * 4 + 2x * 4) + 2(2x + -4) = 2(x + 3) + 3(2x + 6)
(8 + 8x) + 2(2x + -4) = 2(x + 3) + 3(2x + 6)

Reorder the terms:
8 + 8x + 2(-4 + 2x) = 2(x + 3) + 3(2x + 6)
8 + 8x + (-4 * 2 + 2x * 2) = 2(x + 3) + 3(2x + 6)
8 + 8x + (-8 + 4x) = 2(x + 3) + 3(2x + 6)

Reorder the terms:
8 + -8 + 8x + 4x = 2(x + 3) + 3(2x + 6)

Combine like terms: 8 + -8 = 0
0 + 8x + 4x = 2(x + 3) + 3(2x + 6)
8x + 4x = 2(x + 3) + 3(2x + 6)

Combine like terms: 8x + 4x = 12x
12x = 2(x + 3) + 3(2x + 6)

Reorder the terms:
12x = 2(3 + x) + 3(2x + 6)
12x = (3 * 2 + x * 2) + 3(2x + 6)
12x = (6 + 2x) + 3(2x + 6)

Reorder the terms:
12x = 6 + 2x + 3(6 + 2x)
12x = 6 + 2x + (6 * 3 + 2x * 3)
12x = 6 + 2x + (18 + 6x)

Reorder the terms:
12x = 6 + 18 + 2x + 6x

Combine like terms: 6 + 18 = 24
12x = 24 + 2x + 6x

Combine like terms: 2x + 6x = 8x
12x = 24 + 8x

Solving
12x = 24 + 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.
12x + -8x = 24 + 8x + -8x

Combine like terms: 12x + -8x = 4x
4x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
4x = 24 + 0
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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