-3x+6=8x-16

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Solution for -3x+6=8x-16 equation:


Simplifying
-3x + 6 = 8x + -16

Reorder the terms:
6 + -3x = 8x + -16

Reorder the terms:
6 + -3x = -16 + 8x

Solving
6 + -3x = -16 + 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.
6 + -3x + -8x = -16 + 8x + -8x

Combine like terms: -3x + -8x = -11x
6 + -11x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -11x = -16 + 0
6 + -11x = -16

Add '-6' to each side of the equation.
6 + -6 + -11x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -16 + -6
-11x = -16 + -6

Combine like terms: -16 + -6 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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