6x+13=9x-2

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Solution for 6x+13=9x-2 equation:


Simplifying
6x + 13 = 9x + -2

Reorder the terms:
13 + 6x = 9x + -2

Reorder the terms:
13 + 6x = -2 + 9x

Solving
13 + 6x = -2 + 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.
13 + 6x + -9x = -2 + 9x + -9x

Combine like terms: 6x + -9x = -3x
13 + -3x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
13 + -3x = -2 + 0
13 + -3x = -2

Add '-13' to each side of the equation.
13 + -13 + -3x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -2 + -13
-3x = -2 + -13

Combine like terms: -2 + -13 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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