5x+9=16x-12

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Solution for 5x+9=16x-12 equation:


Simplifying
5x + 9 = 16x + -12

Reorder the terms:
9 + 5x = 16x + -12

Reorder the terms:
9 + 5x = -12 + 16x

Solving
9 + 5x = -12 + 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 + 5x + -16x = -12 + 16x + -16x

Combine like terms: 5x + -16x = -11x
9 + -11x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
9 + -11x = -12 + 0
9 + -11x = -12

Add '-9' to each side of the equation.
9 + -9 + -11x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = -12 + -9
-11x = -12 + -9

Combine like terms: -12 + -9 = -21
-11x = -21

Divide each side by '-11'.
x = 1.909090909

Simplifying
x = 1.909090909

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