4x-9=6x+16

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Solution for 4x-9=6x+16 equation:


Simplifying
4x + -9 = 6x + 16

Reorder the terms:
-9 + 4x = 6x + 16

Reorder the terms:
-9 + 4x = 16 + 6x

Solving
-9 + 4x = 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 + 4x + -6x = 16 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-9 + -2x = 16 + 0
-9 + -2x = 16

Add '9' to each side of the equation.
-9 + 9 + -2x = 16 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 16 + 9
-2x = 16 + 9

Combine like terms: 16 + 9 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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