3x-9=5x-13

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Solution for 3x-9=5x-13 equation:


Simplifying
3x + -9 = 5x + -13

Reorder the terms:
-9 + 3x = 5x + -13

Reorder the terms:
-9 + 3x = -13 + 5x

Solving
-9 + 3x = -13 + 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.
-9 + 3x + -5x = -13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-9 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -2x = -13 + 0
-9 + -2x = -13

Add '9' to each side of the equation.
-9 + 9 + -2x = -13 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -13 + 9
-2x = -13 + 9

Combine like terms: -13 + 9 = -4
-2x = -4

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

Simplifying
x = 2

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