2-4x=5x-16

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Solution for 2-4x=5x-16 equation:


Simplifying
2 + -4x = 5x + -16

Reorder the terms:
2 + -4x = -16 + 5x

Solving
2 + -4x = -16 + 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 + -4x + -5x = -16 + 5x + -5x

Combine like terms: -4x + -5x = -9x
2 + -9x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 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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