2(x+4)+8x=2(4+3x)+8

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Solution for 2(x+4)+8x=2(4+3x)+8 equation:


Simplifying
2(x + 4) + 8x = 2(4 + 3x) + 8

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

Combine like terms: 2x + 8x = 10x
8 + 10x = 2(4 + 3x) + 8
8 + 10x = (4 * 2 + 3x * 2) + 8
8 + 10x = (8 + 6x) + 8

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

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

Solving
8 + 10x = 16 + 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.
8 + 10x + -6x = 16 + 6x + -6x

Combine like terms: 10x + -6x = 4x
8 + 4x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 4x = 16 + 0
8 + 4x = 16

Add '-8' to each side of the equation.
8 + -8 + 4x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 16 + -8
4x = 16 + -8

Combine like terms: 16 + -8 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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