8x-3(x-1)=8x+16-2x

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Solution for 8x-3(x-1)=8x+16-2x equation:


Simplifying
8x + -3(x + -1) = 8x + 16 + -2x

Reorder the terms:
8x + -3(-1 + x) = 8x + 16 + -2x
8x + (-1 * -3 + x * -3) = 8x + 16 + -2x
8x + (3 + -3x) = 8x + 16 + -2x

Reorder the terms:
3 + 8x + -3x = 8x + 16 + -2x

Combine like terms: 8x + -3x = 5x
3 + 5x = 8x + 16 + -2x

Reorder the terms:
3 + 5x = 16 + 8x + -2x

Combine like terms: 8x + -2x = 6x
3 + 5x = 16 + 6x

Solving
3 + 5x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 5x + -6x = 16 + 6x + -6x

Combine like terms: 5x + -6x = -1x
3 + -1x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -1x = 16 + 0
3 + -1x = 16

Add '-3' to each side of the equation.
3 + -3 + -1x = 16 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 16 + -3
-1x = 16 + -3

Combine like terms: 16 + -3 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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