3x-5=9x-13

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


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

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

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

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

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 3x + -9x = -13 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-5 + -6x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -6x = -13 + 0
-5 + -6x = -13

Add '5' to each side of the equation.
-5 + 5 + -6x = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = -13 + 5
-6x = -13 + 5

Combine like terms: -13 + 5 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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