(2x+9)=(6x-16)

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Solution for (2x+9)=(6x-16) equation:


Simplifying
(2x + 9) = (6x + -16)

Reorder the terms:
(9 + 2x) = (6x + -16)

Remove parenthesis around (9 + 2x)
9 + 2x = (6x + -16)

Reorder the terms:
9 + 2x = (-16 + 6x)

Remove parenthesis around (-16 + 6x)
9 + 2x = -16 + 6x

Solving
9 + 2x = -16 + 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.
9 + 2x + -6x = -16 + 6x + -6x

Combine like terms: 2x + -6x = -4x
9 + -4x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -4x = -16 + 0
9 + -4x = -16

Add '-9' to each side of the equation.
9 + -9 + -4x = -16 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -16 + -9
-4x = -16 + -9

Combine like terms: -16 + -9 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25

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