(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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