8-3(2-4x)=3x-16

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Solution for 8-3(2-4x)=3x-16 equation:


Simplifying
8 + -3(2 + -4x) = 3x + -16
8 + (2 * -3 + -4x * -3) = 3x + -16
8 + (-6 + 12x) = 3x + -16

Combine like terms: 8 + -6 = 2
2 + 12x = 3x + -16

Reorder the terms:
2 + 12x = -16 + 3x

Solving
2 + 12x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 12x + -3x = -16 + 3x + -3x

Combine like terms: 12x + -3x = 9x
2 + 9x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 9x = -16 + 0
2 + 9x = -16

Add '-2' to each side of the equation.
2 + -2 + 9x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = -16 + -2
9x = -16 + -2

Combine like terms: -16 + -2 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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