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

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


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

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

Reorder the terms:
-16 + 16x = -16 + 8 + 8x

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

Solving
-16 + 16x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + 16x + -8x = -8 + 8x + -8x

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

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

Add '16' to each side of the equation.
-16 + 16 + 8x = -8 + 16

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

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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