6x+20=9x-13

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Solution for 6x+20=9x-13 equation:


Simplifying
6x + 20 = 9x + -13

Reorder the terms:
20 + 6x = 9x + -13

Reorder the terms:
20 + 6x = -13 + 9x

Solving
20 + 6x = -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.
20 + 6x + -9x = -13 + 9x + -9x

Combine like terms: 6x + -9x = -3x
20 + -3x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -3x = -13 + 0
20 + -3x = -13

Add '-20' to each side of the equation.
20 + -20 + -3x = -13 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = -13 + -20
-3x = -13 + -20

Combine like terms: -13 + -20 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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