(4x-5)=(5x-4)

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Solution for (4x-5)=(5x-4) equation:


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

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

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

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

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

Solving
-5 + 4x = -4 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-5 + 4x + -5x = -4 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-5 + -1x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -1x = -4 + 0
-5 + -1x = -4

Add '5' to each side of the equation.
-5 + 5 + -1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -4 + 5
-1x = -4 + 5

Combine like terms: -4 + 5 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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