4(2+4x)-6x=8(x+4)+8x

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Solution for 4(2+4x)-6x=8(x+4)+8x equation:


Simplifying
4(2 + 4x) + -6x = 8(x + 4) + 8x
(2 * 4 + 4x * 4) + -6x = 8(x + 4) + 8x
(8 + 16x) + -6x = 8(x + 4) + 8x

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

Reorder the terms:
8 + 10x = 8(4 + x) + 8x
8 + 10x = (4 * 8 + x * 8) + 8x
8 + 10x = (32 + 8x) + 8x

Combine like terms: 8x + 8x = 16x
8 + 10x = 32 + 16x

Solving
8 + 10x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + 10x + -16x = 32 + 16x + -16x

Combine like terms: 10x + -16x = -6x
8 + -6x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -6x = 32 + 0
8 + -6x = 32

Add '-8' to each side of the equation.
8 + -8 + -6x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 32 + -8
-6x = 32 + -8

Combine like terms: 32 + -8 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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