12(15x-72)=-32(1-4x)

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Solution for 12(15x-72)=-32(1-4x) equation:


Simplifying
12(15x + -72) = -32(1 + -4x)

Reorder the terms:
12(-72 + 15x) = -32(1 + -4x)
(-72 * 12 + 15x * 12) = -32(1 + -4x)
(-864 + 180x) = -32(1 + -4x)
-864 + 180x = (1 * -32 + -4x * -32)
-864 + 180x = (-32 + 128x)

Solving
-864 + 180x = -32 + 128x

Solving for variable 'x'.

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

Add '-128x' to each side of the equation.
-864 + 180x + -128x = -32 + 128x + -128x

Combine like terms: 180x + -128x = 52x
-864 + 52x = -32 + 128x + -128x

Combine like terms: 128x + -128x = 0
-864 + 52x = -32 + 0
-864 + 52x = -32

Add '864' to each side of the equation.
-864 + 864 + 52x = -32 + 864

Combine like terms: -864 + 864 = 0
0 + 52x = -32 + 864
52x = -32 + 864

Combine like terms: -32 + 864 = 832
52x = 832

Divide each side by '52'.
x = 16

Simplifying
x = 16

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