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

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Solution for 2(16-4x)8=6(x+2) equation:


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

Reorder the terms for easier multiplication:
2 * 8(16 + -4x) = 6(x + 2)

Multiply 2 * 8
16(16 + -4x) = 6(x + 2)
(16 * 16 + -4x * 16) = 6(x + 2)
(256 + -64x) = 6(x + 2)

Reorder the terms:
256 + -64x = 6(2 + x)
256 + -64x = (2 * 6 + x * 6)
256 + -64x = (12 + 6x)

Solving
256 + -64x = 12 + 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.
256 + -64x + -6x = 12 + 6x + -6x

Combine like terms: -64x + -6x = -70x
256 + -70x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
256 + -70x = 12 + 0
256 + -70x = 12

Add '-256' to each side of the equation.
256 + -256 + -70x = 12 + -256

Combine like terms: 256 + -256 = 0
0 + -70x = 12 + -256
-70x = 12 + -256

Combine like terms: 12 + -256 = -244
-70x = -244

Divide each side by '-70'.
x = 3.485714286

Simplifying
x = 3.485714286

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