64(3x)=512(2x+12)

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Solution for 64(3x)=512(2x+12) equation:


Simplifying
64(3x) = 512(2x + 12)

Remove parenthesis around (3x)
64 * 3x = 512(2x + 12)

Multiply 64 * 3
192x = 512(2x + 12)

Reorder the terms:
192x = 512(12 + 2x)
192x = (12 * 512 + 2x * 512)
192x = (6144 + 1024x)

Solving
192x = 6144 + 1024x

Solving for variable 'x'.

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

Add '-1024x' to each side of the equation.
192x + -1024x = 6144 + 1024x + -1024x

Combine like terms: 192x + -1024x = -832x
-832x = 6144 + 1024x + -1024x

Combine like terms: 1024x + -1024x = 0
-832x = 6144 + 0
-832x = 6144

Divide each side by '-832'.
x = -7.384615385

Simplifying
x = -7.384615385

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