16(3x+1)=32(1-x)

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Solution for 16(3x+1)=32(1-x) equation: 


Simplifying
16(3x + 1) = 32(1 + -1x)

Reorder the terms:
16(1 + 3x) = 32(1 + -1x)
(1 * 16 + 3x * 16) = 32(1 + -1x)
(16 + 48x) = 32(1 + -1x)
16 + 48x = (1 * 32 + -1x * 32)
16 + 48x = (32 + -32x)

Solving
16 + 48x = 32 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
16 + 48x + 32x = 32 + -32x + 32x

Combine like terms: 48x + 32x = 80x
16 + 80x = 32 + -32x + 32x

Combine like terms: -32x + 32x = 0
16 + 80x = 32 + 0
16 + 80x = 32

Add '-16' to each side of the equation.
16 + -16 + 80x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 80x = 32 + -16
80x = 32 + -16

Combine like terms: 32 + -16 = 16
80x = 16

Divide each side by '80'.
x = 0.2

Simplifying
x = 0.2

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