6x+33=13x-23

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Solution for 6x+33=13x-23 equation:


Simplifying
6x + 33 = 13x + -23

Reorder the terms:
33 + 6x = 13x + -23

Reorder the terms:
33 + 6x = -23 + 13x

Solving
33 + 6x = -23 + 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.
33 + 6x + -13x = -23 + 13x + -13x

Combine like terms: 6x + -13x = -7x
33 + -7x = -23 + 13x + -13x

Combine like terms: 13x + -13x = 0
33 + -7x = -23 + 0
33 + -7x = -23

Add '-33' to each side of the equation.
33 + -33 + -7x = -23 + -33

Combine like terms: 33 + -33 = 0
0 + -7x = -23 + -33
-7x = -23 + -33

Combine like terms: -23 + -33 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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