5x+16=6x-5

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Solution for 5x+16=6x-5 equation:


Simplifying
5x + 16 = 6x + -5

Reorder the terms:
16 + 5x = 6x + -5

Reorder the terms:
16 + 5x = -5 + 6x

Solving
16 + 5x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 5x + -6x = -5 + 6x + -6x

Combine like terms: 5x + -6x = -1x
16 + -1x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -1x = -5 + 0
16 + -1x = -5

Add '-16' to each side of the equation.
16 + -16 + -1x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -5 + -16
-1x = -5 + -16

Combine like terms: -5 + -16 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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