5x+6=16x-27

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Solution for 5x+6=16x-27 equation:


Simplifying
5x + 6 = 16x + -27

Reorder the terms:
6 + 5x = 16x + -27

Reorder the terms:
6 + 5x = -27 + 16x

Solving
6 + 5x = -27 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + 5x + -16x = -27 + 16x + -16x

Combine like terms: 5x + -16x = -11x
6 + -11x = -27 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -11x = -27 + 0
6 + -11x = -27

Add '-6' to each side of the equation.
6 + -6 + -11x = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -27 + -6
-11x = -27 + -6

Combine like terms: -27 + -6 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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