4(x+2)+2(2x-4)=2(x+3)+10

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Solution for 4(x+2)+2(2x-4)=2(x+3)+10 equation: 


Simplifying
4(x + 2) + 2(2x + -4) = 2(x + 3) + 10

Reorder the terms:
4(2 + x) + 2(2x + -4) = 2(x + 3) + 10
(2 * 4 + x * 4) + 2(2x + -4) = 2(x + 3) + 10
(8 + 4x) + 2(2x + -4) = 2(x + 3) + 10

Reorder the terms:
8 + 4x + 2(-4 + 2x) = 2(x + 3) + 10
8 + 4x + (-4 * 2 + 2x * 2) = 2(x + 3) + 10
8 + 4x + (-8 + 4x) = 2(x + 3) + 10

Reorder the terms:
8 + -8 + 4x + 4x = 2(x + 3) + 10

Combine like terms: 8 + -8 = 0
0 + 4x + 4x = 2(x + 3) + 10
4x + 4x = 2(x + 3) + 10

Combine like terms: 4x + 4x = 8x
8x = 2(x + 3) + 10

Reorder the terms:
8x = 2(3 + x) + 10
8x = (3 * 2 + x * 2) + 10
8x = (6 + 2x) + 10

Reorder the terms:
8x = 6 + 10 + 2x

Combine like terms: 6 + 10 = 16
8x = 16 + 2x

Solving
8x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8x + -2x = 16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6x = 16 + 0
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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