3x-2=x-4+4x-16

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Solution for 3x-2=x-4+4x-16 equation:


Simplifying
3x + -2 = x + -4 + 4x + -16

Reorder the terms:
-2 + 3x = x + -4 + 4x + -16

Reorder the terms:
-2 + 3x = -4 + -16 + x + 4x

Combine like terms: -4 + -16 = -20
-2 + 3x = -20 + x + 4x

Combine like terms: x + 4x = 5x
-2 + 3x = -20 + 5x

Solving
-2 + 3x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 3x + -5x = -20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -2x = -20 + 0
-2 + -2x = -20

Add '2' to each side of the equation.
-2 + 2 + -2x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -20 + 2
-2x = -20 + 2

Combine like terms: -20 + 2 = -18
-2x = -18

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

Simplifying
x = 9

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