6x+9=13x-5

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Solution for 6x+9=13x-5 equation:


Simplifying
6x + 9 = 13x + -5

Reorder the terms:
9 + 6x = 13x + -5

Reorder the terms:
9 + 6x = -5 + 13x

Solving
9 + 6x = -5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
9 + 6x + -13x = -5 + 13x + -13x

Combine like terms: 6x + -13x = -7x
9 + -7x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
9 + -7x = -5 + 0
9 + -7x = -5

Add '-9' to each side of the equation.
9 + -9 + -7x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -5 + -9
-7x = -5 + -9

Combine like terms: -5 + -9 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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