x-5=4x+16

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


Simplifying
x + -5 = 4x + 16

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

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

Solving
-5 + x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + x + -4x = 16 + 4x + -4x

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

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 16 + 5

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

Combine like terms: 16 + 5 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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