2x-4=5x+16

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


Simplifying
2x + -4 = 5x + 16

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

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

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

Combine like terms: 2x + -5x = -3x
-4 + -3x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -3x = 16 + 0
-4 + -3x = 16

Add '4' to each side of the equation.
-4 + 4 + -3x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 16 + 4
-3x = 16 + 4

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

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

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