2x-5=4x-9

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Solution for 2x-5=4x-9 equation: 


Simplifying
2x + -5 = 4x + -9

Reorder the terms:
-5 + 2x = 4x + -9

Reorder the terms:
-5 + 2x = -9 + 4x

Solving
-5 + 2x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 2x + -4x = -9 + 4x + -4x

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

Combine like terms: 4x + -4x = 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 = -4
-2x = -4

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

Simplifying
x = 2

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