2x-3=5x-9

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Solution for 2x-3=5x-9 equation:


Simplifying
2x + -3 = 5x + -9

Reorder the terms:
-3 + 2x = 5x + -9

Reorder the terms:
-3 + 2x = -9 + 5x

Solving
-3 + 2x = -9 + 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.
-3 + 2x + -5x = -9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3 + -3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -3x = -9 + 0
-3 + -3x = -9

Add '3' to each side of the equation.
-3 + 3 + -3x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -9 + 3
-3x = -9 + 3

Combine like terms: -9 + 3 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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