(4x-5)=(6x+9)

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Solution for (4x-5)=(6x+9) equation:


Simplifying
(4x + -5) = (6x + 9)

Reorder the terms:
(-5 + 4x) = (6x + 9)

Remove parenthesis around (-5 + 4x)
-5 + 4x = (6x + 9)

Reorder the terms:
-5 + 4x = (9 + 6x)

Remove parenthesis around (9 + 6x)
-5 + 4x = 9 + 6x

Solving
-5 + 4x = 9 + 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.
-5 + 4x + -6x = 9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-5 + -2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -2x = 9 + 0
-5 + -2x = 9

Add '5' to each side of the equation.
-5 + 5 + -2x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 9 + 5
-2x = 9 + 5

Combine like terms: 9 + 5 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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