16(x-1)=8(2-x)+8x

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Solution for 16(x-1)=8(2-x)+8x equation: 


Simplifying
16(x + -1) = 8(2 + -1x) + 8x

Reorder the terms:
16(-1 + x) = 8(2 + -1x) + 8x
(-1 * 16 + x * 16) = 8(2 + -1x) + 8x
(-16 + 16x) = 8(2 + -1x) + 8x
-16 + 16x = (2 * 8 + -1x * 8) + 8x
-16 + 16x = (16 + -8x) + 8x

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

Solving
-16 + 16x = 16

Solving for variable 'x'.

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

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

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

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

Divide each side by '16'.
x = 2

Simplifying
x = 2

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