9x-5=3x-2+13

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Solution for 9x-5=3x-2+13 equation:


Simplifying
9x + -5 = 3x + -2 + 13

Reorder the terms:
-5 + 9x = 3x + -2 + 13

Reorder the terms:
-5 + 9x = -2 + 13 + 3x

Combine like terms: -2 + 13 = 11
-5 + 9x = 11 + 3x

Solving
-5 + 9x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 9x + -3x = 11 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-5 + 6x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 6x = 11 + 0
-5 + 6x = 11

Add '5' to each side of the equation.
-5 + 5 + 6x = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 11 + 5
6x = 11 + 5

Combine like terms: 11 + 5 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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