4x+9=16x-27

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Solution for 4x+9=16x-27 equation:


Simplifying
4x + 9 = 16x + -27

Reorder the terms:
9 + 4x = 16x + -27

Reorder the terms:
9 + 4x = -27 + 16x

Solving
9 + 4x = -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.
9 + 4x + -16x = -27 + 16x + -16x

Combine like terms: 4x + -16x = -12x
9 + -12x = -27 + 16x + -16x

Combine like terms: 16x + -16x = 0
9 + -12x = -27 + 0
9 + -12x = -27

Add '-9' to each side of the equation.
9 + -9 + -12x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -12x = -27 + -9
-12x = -27 + -9

Combine like terms: -27 + -9 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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